Finding the Third Proportional to 177,292 and 379,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,292 : 379,498.50 = 379,498.50 : x
2. Step 2: Convert to fraction form
   177,292/379,498.50 = 379,498.50/x
3. Step 3: Cross multiply
   177,292x = 379,498.50 × 379,498.50
4. Step 4: Simplify right side
   177,292x = 144,019,111,502.25
5. Step 5: Solve for x
   x = 144,019,111,502.25/177,292
6. Step 6: Final answer
   x = 812,327.19