Finding the Third Proportional to 114,127 and 171,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,127 : 171,535.50 = 171,535.50 : x
2. Step 2: Convert to fraction form
   114,127/171,535.50 = 171,535.50/x
3. Step 3: Cross multiply
   114,127x = 171,535.50 × 171,535.50
4. Step 4: Simplify right side
   114,127x = 29,424,427,760.25
5. Step 5: Solve for x
   x = 29,424,427,760.25/114,127
6. Step 6: Final answer
   x = 257,821.79