Finding the Third Proportional to 114,123 and 254,472

Step by Step Solution

1. Step 1: Write the proportion equation
   114,123 : 254,472 = 254,472 : x
2. Step 2: Convert to fraction form
   114,123/254,472 = 254,472/x
3. Step 3: Cross multiply
   114,123x = 254,472 × 254,472
4. Step 4: Simplify right side
   114,123x = 64,755,998,784
5. Step 5: Solve for x
   x = 64,755,998,784/114,123
6. Step 6: Final answer
   x = 567,422.86