Finding the Third Proportional to 182,025 and 267,084

Step by Step Solution

1. Step 1: Write the proportion equation
   182,025 : 267,084 = 267,084 : x
2. Step 2: Convert to fraction form
   182,025/267,084 = 267,084/x
3. Step 3: Cross multiply
   182,025x = 267,084 × 267,084
4. Step 4: Simplify right side
   182,025x = 71,333,863,056
5. Step 5: Solve for x
   x = 71,333,863,056/182,025
6. Step 6: Final answer
   x = 391,890.47