Finding the Third Proportional to 109,576 and 233,274

Step by Step Solution

1. Step 1: Write the proportion equation
   109,576 : 233,274 = 233,274 : x
2. Step 2: Convert to fraction form
   109,576/233,274 = 233,274/x
3. Step 3: Cross multiply
   109,576x = 233,274 × 233,274
4. Step 4: Simplify right side
   109,576x = 54,416,759,076
5. Step 5: Solve for x
   x = 54,416,759,076/109,576
6. Step 6: Final answer
   x = 496,612.02