Finding the Third Proportional to 114,901.50 and 171,663

Step by Step Solution

1. Step 1: Write the proportion equation
   114,901.50 : 171,663 = 171,663 : x
2. Step 2: Convert to fraction form
   114,901.50/171,663 = 171,663/x
3. Step 3: Cross multiply
   114,901.50x = 171,663 × 171,663
4. Step 4: Simplify right side
   114,901.50x = 29,468,185,569
5. Step 5: Solve for x
   x = 29,468,185,569/114,901.50
6. Step 6: Final answer
   x = 256,464.76