Finding the Third Proportional to 123,132 and 267,830

Step by Step Solution

1. Step 1: Write the proportion equation
   123,132 : 267,830 = 267,830 : x
2. Step 2: Convert to fraction form
   123,132/267,830 = 267,830/x
3. Step 3: Cross multiply
   123,132x = 267,830 × 267,830
4. Step 4: Simplify right side
   123,132x = 71,732,908,900
5. Step 5: Solve for x
   x = 71,732,908,900/123,132
6. Step 6: Final answer
   x = 582,569.19