Finding the Third Proportional to 182,009 and 267,060

Step by Step Solution

1. Step 1: Write the proportion equation
   182,009 : 267,060 = 267,060 : x
2. Step 2: Convert to fraction form
   182,009/267,060 = 267,060/x
3. Step 3: Cross multiply
   182,009x = 267,060 × 267,060
4. Step 4: Simplify right side
   182,009x = 71,321,043,600
5. Step 5: Solve for x
   x = 71,321,043,600/182,009
6. Step 6: Final answer
   x = 391,854.49