Finding the Third Proportional to 114,410 and 175,020

Step by Step Solution

1. Step 1: Write the proportion equation
   114,410 : 175,020 = 175,020 : x
2. Step 2: Convert to fraction form
   114,410/175,020 = 175,020/x
3. Step 3: Cross multiply
   114,410x = 175,020 × 175,020
4. Step 4: Simplify right side
   114,410x = 30,632,000,400
5. Step 5: Solve for x
   x = 30,632,000,400/114,410
6. Step 6: Final answer
   x = 267,738.84