Finding the Third Proportional to 123,280 and 252,400

Step by Step Solution

1. Step 1: Write the proportion equation
   123,280 : 252,400 = 252,400 : x
2. Step 2: Convert to fraction form
   123,280/252,400 = 252,400/x
3. Step 3: Cross multiply
   123,280x = 252,400 × 252,400
4. Step 4: Simplify right side
   123,280x = 63,705,760,000
5. Step 5: Solve for x
   x = 63,705,760,000/123,280
6. Step 6: Final answer
   x = 516,756.65