Finding the Third Proportional to 177,382 and 267,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,382 : 267,916.50 = 267,916.50 : x
2. Step 2: Convert to fraction form
   177,382/267,916.50 = 267,916.50/x
3. Step 3: Cross multiply
   177,382x = 267,916.50 × 267,916.50
4. Step 4: Simplify right side
   177,382x = 71,779,250,972.25
5. Step 5: Solve for x
   x = 71,779,250,972.25/177,382
6. Step 6: Final answer
   x = 404,659.16