Finding the Third Proportional to 177,022 and 267,002

Step by Step Solution

1. Step 1: Write the proportion equation
   177,022 : 267,002 = 267,002 : x
2. Step 2: Convert to fraction form
   177,022/267,002 = 267,002/x
3. Step 3: Cross multiply
   177,022x = 267,002 × 267,002
4. Step 4: Simplify right side
   177,022x = 71,290,068,004
5. Step 5: Solve for x
   x = 71,290,068,004/177,022
6. Step 6: Final answer
   x = 402,718.69