Finding the Third Proportional to 177,510,718,876.50 and 380,155,421,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,510,718,876.50 : 380,155,421,524.50 = 380,155,421,524.50 : x
2. Step 2: Convert to fraction form
   177,510,718,876.50/380,155,421,524.50 = 380,155,421,524.50/x
3. Step 3: Cross multiply
   177,510,718,876.50x = 380,155,421,524.50 × 380,155,421,524.50
4. Step 4: Simplify right side
   177,510,718,876.50x = 144,518,144,514,470,275,186,688
5. Step 5: Solve for x
   x = 144,518,144,514,470,275,186,688/177,510,718,876.50
6. Step 6: Final answer
   x = 814,137,565,489.87