Finding the Third Proportional to 169,542 and 256,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   169,542 : 256,495.50 = 256,495.50 : x
2. Step 2: Convert to fraction form
   169,542/256,495.50 = 256,495.50/x
3. Step 3: Cross multiply
   169,542x = 256,495.50 × 256,495.50
4. Step 4: Simplify right side
   169,542x = 65,789,941,520.25
5. Step 5: Solve for x
   x = 65,789,941,520.25/169,542
6. Step 6: Final answer
   x = 388,045.10