Finding the Third Proportional to 126,184 and 175,452

Step by Step Solution

1. Step 1: Write the proportion equation
   126,184 : 175,452 = 175,452 : x
2. Step 2: Convert to fraction form
   126,184/175,452 = 175,452/x
3. Step 3: Cross multiply
   126,184x = 175,452 × 175,452
4. Step 4: Simplify right side
   126,184x = 30,783,404,304
5. Step 5: Solve for x
   x = 30,783,404,304/126,184
6. Step 6: Final answer
   x = 243,956.48