Finding the Third Proportional to 74,229 and 175,049

Step by Step Solution

1. Step 1: Write the proportion equation
   74,229 : 175,049 = 175,049 : x
2. Step 2: Convert to fraction form
   74,229/175,049 = 175,049/x
3. Step 3: Cross multiply
   74,229x = 175,049 × 175,049
4. Step 4: Simplify right side
   74,229x = 30,642,152,401
5. Step 5: Solve for x
   x = 30,642,152,401/74,229
6. Step 6: Final answer
   x = 412,805.67