Finding the Third Proportional to 25,978 and 56,509

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978 : 56,509 = 56,509 : x
2. Step 2: Convert to fraction form
   25,978/56,509 = 56,509/x
3. Step 3: Cross multiply
   25,978x = 56,509 × 56,509
4. Step 4: Simplify right side
   25,978x = 3,193,267,081
5. Step 5: Solve for x
   x = 3,193,267,081/25,978
6. Step 6: Final answer
   x = 122,921.98