Finding the Third Proportional to 109,649 and 234,274

Step by Step Solution

1. Step 1: Write the proportion equation
   109,649 : 234,274 = 234,274 : x
2. Step 2: Convert to fraction form
   109,649/234,274 = 234,274/x
3. Step 3: Cross multiply
   109,649x = 234,274 × 234,274
4. Step 4: Simplify right side
   109,649x = 54,884,307,076
5. Step 5: Solve for x
   x = 54,884,307,076/109,649
6. Step 6: Final answer
   x = 500,545.44