Finding the Third Proportional to 122,548.50 and 257,463

Step by Step Solution

1. Step 1: Write the proportion equation
   122,548.50 : 257,463 = 257,463 : x
2. Step 2: Convert to fraction form
   122,548.50/257,463 = 257,463/x
3. Step 3: Cross multiply
   122,548.50x = 257,463 × 257,463
4. Step 4: Simplify right side
   122,548.50x = 66,287,196,369
5. Step 5: Solve for x
   x = 66,287,196,369/122,548.50
6. Step 6: Final answer
   x = 540,905.82