Finding the Third Proportional to 25,863 and 56,463

Step by Step Solution

1. Step 1: Write the proportion equation
   25,863 : 56,463 = 56,463 : x
2. Step 2: Convert to fraction form
   25,863/56,463 = 56,463/x
3. Step 3: Cross multiply
   25,863x = 56,463 × 56,463
4. Step 4: Simplify right side
   25,863x = 3,188,070,369
5. Step 5: Solve for x
   x = 3,188,070,369/25,863
6. Step 6: Final answer
   x = 123,267.62