Finding the Third Proportional to 81,131.50 and 177,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,131.50 : 177,532.50 = 177,532.50 : x
2. Step 2: Convert to fraction form
   81,131.50/177,532.50 = 177,532.50/x
3. Step 3: Cross multiply
   81,131.50x = 177,532.50 × 177,532.50
4. Step 4: Simplify right side
   81,131.50x = 31,517,788,556.25
5. Step 5: Solve for x
   x = 31,517,788,556.25/81,131.50
6. Step 6: Final answer
   x = 388,477.82