Finding the Third Proportional to 25,662 and 56,223

Step by Step Solution

1. Step 1: Write the proportion equation
   25,662 : 56,223 = 56,223 : x
2. Step 2: Convert to fraction form
   25,662/56,223 = 56,223/x
3. Step 3: Cross multiply
   25,662x = 56,223 × 56,223
4. Step 4: Simplify right side
   25,662x = 3,161,025,729
5. Step 5: Solve for x
   x = 3,161,025,729/25,662
6. Step 6: Final answer
   x = 123,179.24