Finding the Third Proportional to 81,472.50 and 172,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,472.50 : 172,786.50 = 172,786.50 : x
2. Step 2: Convert to fraction form
   81,472.50/172,786.50 = 172,786.50/x
3. Step 3: Cross multiply
   81,472.50x = 172,786.50 × 172,786.50
4. Step 4: Simplify right side
   81,472.50x = 29,855,174,582.25
5. Step 5: Solve for x
   x = 29,855,174,582.25/81,472.50
6. Step 6: Final answer
   x = 366,444.81