Finding the Third Proportional to 114,478 and 175,116

Step by Step Solution

1. Step 1: Write the proportion equation
   114,478 : 175,116 = 175,116 : x
2. Step 2: Convert to fraction form
   114,478/175,116 = 175,116/x
3. Step 3: Cross multiply
   114,478x = 175,116 × 175,116
4. Step 4: Simplify right side
   114,478x = 30,665,613,456
5. Step 5: Solve for x
   x = 30,665,613,456/114,478
6. Step 6: Final answer
   x = 267,873.42