Finding the Third Proportional to 81,696 and 176,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,696 : 176,962.50 = 176,962.50 : x
2. Step 2: Convert to fraction form
   81,696/176,962.50 = 176,962.50/x
3. Step 3: Cross multiply
   81,696x = 176,962.50 × 176,962.50
4. Step 4: Simplify right side
   81,696x = 31,315,726,406.25
5. Step 5: Solve for x
   x = 31,315,726,406.25/81,696
6. Step 6: Final answer
   x = 383,320.19