Finding the Third Proportional to 114,878.50 and 171,629

Step by Step Solution

1. Step 1: Write the proportion equation
   114,878.50 : 171,629 = 171,629 : x
2. Step 2: Convert to fraction form
   114,878.50/171,629 = 171,629/x
3. Step 3: Cross multiply
   114,878.50x = 171,629 × 171,629
4. Step 4: Simplify right side
   114,878.50x = 29,456,513,641
5. Step 5: Solve for x
   x = 29,456,513,641/114,878.50
6. Step 6: Final answer
   x = 256,414.50