Finding the Third Proportional to 81,815 and 176,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,815 : 176,522.50 = 176,522.50 : x
2. Step 2: Convert to fraction form
   81,815/176,522.50 = 176,522.50/x
3. Step 3: Cross multiply
   81,815x = 176,522.50 × 176,522.50
4. Step 4: Simplify right side
   81,815x = 31,160,193,006.25
5. Step 5: Solve for x
   x = 31,160,193,006.25/81,815
6. Step 6: Final answer
   x = 380,861.61