Finding the Third Proportional to 177,356 and 267,870

Step by Step Solution

1. Step 1: Write the proportion equation
   177,356 : 267,870 = 267,870 : x
2. Step 2: Convert to fraction form
   177,356/267,870 = 267,870/x
3. Step 3: Cross multiply
   177,356x = 267,870 × 267,870
4. Step 4: Simplify right side
   177,356x = 71,754,336,900
5. Step 5: Solve for x
   x = 71,754,336,900/177,356
6. Step 6: Final answer
   x = 404,578.01