Finding the Third Proportional to 114,424 and 175,040

Step by Step Solution

1. Step 1: Write the proportion equation
   114,424 : 175,040 = 175,040 : x
2. Step 2: Convert to fraction form
   114,424/175,040 = 175,040/x
3. Step 3: Cross multiply
   114,424x = 175,040 × 175,040
4. Step 4: Simplify right side
   114,424x = 30,639,001,600
5. Step 5: Solve for x
   x = 30,639,001,600/114,424
6. Step 6: Final answer
   x = 267,767.27