Finding the Third Proportional to 81,561 and 172,913.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,561 : 172,913.25 = 172,913.25 : x
2. Step 2: Convert to fraction form
   81,561/172,913.25 = 172,913.25/x
3. Step 3: Cross multiply
   81,561x = 172,913.25 × 172,913.25
4. Step 4: Simplify right side
   81,561x = 29,898,992,025.56
5. Step 5: Solve for x
   x = 29,898,992,025.56/81,561
6. Step 6: Final answer
   x = 366,584.42