Finding the Third Proportional to 120,912 and 267,096

Step by Step Solution

1. Step 1: Write the proportion equation
   120,912 : 267,096 = 267,096 : x
2. Step 2: Convert to fraction form
   120,912/267,096 = 267,096/x
3. Step 3: Cross multiply
   120,912x = 267,096 × 267,096
4. Step 4: Simplify right side
   120,912x = 71,340,273,216
5. Step 5: Solve for x
   x = 71,340,273,216/120,912
6. Step 6: Final answer
   x = 590,018.14