Finding the Third Proportional to 114,776 and 175,452

Step by Step Solution

1. Step 1: Write the proportion equation
   114,776 : 175,452 = 175,452 : x
2. Step 2: Convert to fraction form
   114,776/175,452 = 175,452/x
3. Step 3: Cross multiply
   114,776x = 175,452 × 175,452
4. Step 4: Simplify right side
   114,776x = 30,783,404,304
5. Step 5: Solve for x
   x = 30,783,404,304/114,776
6. Step 6: Final answer
   x = 268,204.19