Finding the Third Proportional to 177,510,718,866 and 380,155,421,507

Step by Step Solution

1. Step 1: Write the proportion equation
   177,510,718,866 : 380,155,421,507 = 380,155,421,507 : x
2. Step 2: Convert to fraction form
   177,510,718,866/380,155,421,507 = 380,155,421,507/x
3. Step 3: Cross multiply
   177,510,718,866x = 380,155,421,507 × 380,155,421,507
4. Step 4: Simplify right side
   177,510,718,866x = 144,518,144,501,164,835,602,432
5. Step 5: Solve for x
   x = 144,518,144,501,164,835,602,432/177,510,718,866
6. Step 6: Final answer
   x = 814,137,565,463.07