Finding the Third Proportional to 114,424.31 and 172,471.78

Step by Step Solution

1. Step 1: Write the proportion equation
   114,424.31 : 172,471.78 = 172,471.78 : x
2. Step 2: Convert to fraction form
   114,424.31/172,471.78 = 172,471.78/x
3. Step 3: Cross multiply
   114,424.31x = 172,471.78 × 172,471.78
4. Step 4: Simplify right side
   114,424.31x = 29,746,515,327.55
5. Step 5: Solve for x
   x = 29,746,515,327.55/114,424.31
6. Step 6: Final answer
   x = 259,966.74