Finding the Third Proportional to 114,915 and 172,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,915 : 172,498.50 = 172,498.50 : x
2. Step 2: Convert to fraction form
   114,915/172,498.50 = 172,498.50/x
3. Step 3: Cross multiply
   114,915x = 172,498.50 × 172,498.50
4. Step 4: Simplify right side
   114,915x = 29,755,732,502.25
5. Step 5: Solve for x
   x = 29,755,732,502.25/114,915
6. Step 6: Final answer
   x = 258,936.89