Finding the Third Proportional to 59,123 and 128,452

Step by Step Solution

1. Step 1: Write the proportion equation
   59,123 : 128,452 = 128,452 : x
2. Step 2: Convert to fraction form
   59,123/128,452 = 128,452/x
3. Step 3: Cross multiply
   59,123x = 128,452 × 128,452
4. Step 4: Simplify right side
   59,123x = 16,499,916,304
5. Step 5: Solve for x
   x = 16,499,916,304/59,123
6. Step 6: Final answer
   x = 279,077.79