Finding the Third Proportional to 82,929.38 and 177,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,929.38 : 177,691.50 = 177,691.50 : x
2. Step 2: Convert to fraction form
   82,929.38/177,691.50 = 177,691.50/x
3. Step 3: Cross multiply
   82,929.38x = 177,691.50 × 177,691.50
4. Step 4: Simplify right side
   82,929.38x = 31,574,269,172.25
5. Step 5: Solve for x
   x = 31,574,269,172.25/82,929.38
6. Step 6: Final answer
   x = 380,736.85