Finding the Third Proportional to 123,228 and 252,294.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,228 : 252,294.75 = 252,294.75 : x
2. Step 2: Convert to fraction form
   123,228/252,294.75 = 252,294.75/x
3. Step 3: Cross multiply
   123,228x = 252,294.75 × 252,294.75
4. Step 4: Simplify right side
   123,228x = 63,652,640,877.56
5. Step 5: Solve for x
   x = 63,652,640,877.56/123,228
6. Step 6: Final answer
   x = 516,543.65