Finding the Third Proportional to 175,875 and 267,366.38

Step by Step Solution

1. Step 1: Write the proportion equation
   175,875 : 267,366.38 = 267,366.38 : x
2. Step 2: Convert to fraction form
   175,875/267,366.38 = 267,366.38/x
3. Step 3: Cross multiply
   175,875x = 267,366.38 × 267,366.38
4. Step 4: Simplify right side
   175,875x = 71,484,778,480.64
5. Step 5: Solve for x
   x = 71,484,778,480.64/175,875
6. Step 6: Final answer
   x = 406,452.19