Finding the Third Proportional to 114,764 and 175,434

Step by Step Solution

1. Step 1: Write the proportion equation
   114,764 : 175,434 = 175,434 : x
2. Step 2: Convert to fraction form
   114,764/175,434 = 175,434/x
3. Step 3: Cross multiply
   114,764x = 175,434 × 175,434
4. Step 4: Simplify right side
   114,764x = 30,777,088,356
5. Step 5: Solve for x
   x = 30,777,088,356/114,764
6. Step 6: Final answer
   x = 268,177.20