Finding the Third Proportional to 123,200 and 267,120

Step by Step Solution

1. Step 1: Write the proportion equation
   123,200 : 267,120 = 267,120 : x
2. Step 2: Convert to fraction form
   123,200/267,120 = 267,120/x
3. Step 3: Cross multiply
   123,200x = 267,120 × 267,120
4. Step 4: Simplify right side
   123,200x = 71,353,094,400
5. Step 5: Solve for x
   x = 71,353,094,400/123,200
6. Step 6: Final answer
   x = 579,164.73