Finding the Third Proportional to 51,123 and 78,472

Step by Step Solution

1. Step 1: Write the proportion equation
   51,123 : 78,472 = 78,472 : x
2. Step 2: Convert to fraction form
   51,123/78,472 = 78,472/x
3. Step 3: Cross multiply
   51,123x = 78,472 × 78,472
4. Step 4: Simplify right side
   51,123x = 6,157,854,784
5. Step 5: Solve for x
   x = 6,157,854,784/51,123
6. Step 6: Final answer
   x = 120,451.75