Finding the Third Proportional to 117,463.50 and 256,098

Step by Step Solution

1. Step 1: Write the proportion equation
   117,463.50 : 256,098 = 256,098 : x
2. Step 2: Convert to fraction form
   117,463.50/256,098 = 256,098/x
3. Step 3: Cross multiply
   117,463.50x = 256,098 × 256,098
4. Step 4: Simplify right side
   117,463.50x = 65,586,185,604
5. Step 5: Solve for x
   x = 65,586,185,604/117,463.50
6. Step 6: Final answer
   x = 558,353.75