Finding the Third Proportional to 187,413 and 267,105

Step by Step Solution

1. Step 1: Write the proportion equation
   187,413 : 267,105 = 267,105 : x
2. Step 2: Convert to fraction form
   187,413/267,105 = 267,105/x
3. Step 3: Cross multiply
   187,413x = 267,105 × 267,105
4. Step 4: Simplify right side
   187,413x = 71,345,081,025
5. Step 5: Solve for x
   x = 71,345,081,025/187,413
6. Step 6: Final answer
   x = 380,683.74