Finding the Third Proportional to 114,524 and 171,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,524 : 171,259.50 = 171,259.50 : x
2. Step 2: Convert to fraction form
   114,524/171,259.50 = 171,259.50/x
3. Step 3: Cross multiply
   114,524x = 171,259.50 × 171,259.50
4. Step 4: Simplify right side
   114,524x = 29,329,816,340.25
5. Step 5: Solve for x
   x = 29,329,816,340.25/114,524
6. Step 6: Final answer
   x = 256,101.92