Finding the Third Proportional to 119,945.50 and 256,499

Step by Step Solution

1. Step 1: Write the proportion equation
   119,945.50 : 256,499 = 256,499 : x
2. Step 2: Convert to fraction form
   119,945.50/256,499 = 256,499/x
3. Step 3: Cross multiply
   119,945.50x = 256,499 × 256,499
4. Step 4: Simplify right side
   119,945.50x = 65,791,737,001
5. Step 5: Solve for x
   x = 65,791,737,001/119,945.50
6. Step 6: Final answer
   x = 548,513.59