Finding the Third Proportional to 164,012 and 267,820

Step by Step Solution

1. Step 1: Write the proportion equation
   164,012 : 267,820 = 267,820 : x
2. Step 2: Convert to fraction form
   164,012/267,820 = 267,820/x
3. Step 3: Cross multiply
   164,012x = 267,820 × 267,820
4. Step 4: Simplify right side
   164,012x = 71,727,552,400
5. Step 5: Solve for x
   x = 71,727,552,400/164,012
6. Step 6: Final answer
   x = 437,331.12