Finding the Third Proportional to 119,946.52 and 256,500.56

Step by Step Solution

1. Step 1: Write the proportion equation
   119,946.52 : 256,500.56 = 256,500.56 : x
2. Step 2: Convert to fraction form
   119,946.52/256,500.56 = 256,500.56/x
3. Step 3: Cross multiply
   119,946.52x = 256,500.56 × 256,500.56
4. Step 4: Simplify right side
   119,946.52x = 65,792,538,562.82
5. Step 5: Solve for x
   x = 65,792,538,562.82/119,946.52
6. Step 6: Final answer
   x = 548,515.63