Finding the Third Proportional to 115,081 and 172,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,081 : 172,141.50 = 172,141.50 : x
2. Step 2: Convert to fraction form
   115,081/172,141.50 = 172,141.50/x
3. Step 3: Cross multiply
   115,081x = 172,141.50 × 172,141.50
4. Step 4: Simplify right side
   115,081x = 29,632,696,022.25
5. Step 5: Solve for x
   x = 29,632,696,022.25/115,081
6. Step 6: Final answer
   x = 257,494.25