Finding the Third Proportional to 114,381 and 172,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,381 : 172,471.50 = 172,471.50 : x
2. Step 2: Convert to fraction form
   114,381/172,471.50 = 172,471.50/x
3. Step 3: Cross multiply
   114,381x = 172,471.50 × 172,471.50
4. Step 4: Simplify right side
   114,381x = 29,746,418,312.25
5. Step 5: Solve for x
   x = 29,746,418,312.25/114,381
6. Step 6: Final answer
   x = 260,064.33