Finding the Third Proportional to 81,526.50 and 177,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,526.50 : 177,997.50 = 177,997.50 : x
2. Step 2: Convert to fraction form
   81,526.50/177,997.50 = 177,997.50/x
3. Step 3: Cross multiply
   81,526.50x = 177,997.50 × 177,997.50
4. Step 4: Simplify right side
   81,526.50x = 31,683,110,006.25
5. Step 5: Solve for x
   x = 31,683,110,006.25/81,526.50
6. Step 6: Final answer
   x = 388,623.45