Finding the Third Proportional to 109,580 and 233,282

Step by Step Solution

1. Step 1: Write the proportion equation
   109,580 : 233,282 = 233,282 : x
2. Step 2: Convert to fraction form
   109,580/233,282 = 233,282/x
3. Step 3: Cross multiply
   109,580x = 233,282 × 233,282
4. Step 4: Simplify right side
   109,580x = 54,420,491,524
5. Step 5: Solve for x
   x = 54,420,491,524/109,580
6. Step 6: Final answer
   x = 496,627.96