Finding the Third Proportional to 123,980 and 268,564

Step by Step Solution

1. Step 1: Write the proportion equation
   123,980 : 268,564 = 268,564 : x
2. Step 2: Convert to fraction form
   123,980/268,564 = 268,564/x
3. Step 3: Cross multiply
   123,980x = 268,564 × 268,564
4. Step 4: Simplify right side
   123,980x = 72,126,622,096
5. Step 5: Solve for x
   x = 72,126,622,096/123,980
6. Step 6: Final answer
   x = 581,760.14