Finding the Third Proportional to 25,799 and 56,458

Step by Step Solution

1. Step 1: Write the proportion equation
   25,799 : 56,458 = 56,458 : x
2. Step 2: Convert to fraction form
   25,799/56,458 = 56,458/x
3. Step 3: Cross multiply
   25,799x = 56,458 × 56,458
4. Step 4: Simplify right side
   25,799x = 3,187,505,764
5. Step 5: Solve for x
   x = 3,187,505,764/25,799
6. Step 6: Final answer
   x = 123,551.52