Finding the Third Proportional to 109,217 and 175,098

Step by Step Solution

1. Step 1: Write the proportion equation
   109,217 : 175,098 = 175,098 : x
2. Step 2: Convert to fraction form
   109,217/175,098 = 175,098/x
3. Step 3: Cross multiply
   109,217x = 175,098 × 175,098
4. Step 4: Simplify right side
   109,217x = 30,659,309,604
5. Step 5: Solve for x
   x = 30,659,309,604/109,217
6. Step 6: Final answer
   x = 280,719.21