Finding the Third Proportional to 109,010 and 233,782

Step by Step Solution

1. Step 1: Write the proportion equation
   109,010 : 233,782 = 233,782 : x
2. Step 2: Convert to fraction form
   109,010/233,782 = 233,782/x
3. Step 3: Cross multiply
   109,010x = 233,782 × 233,782
4. Step 4: Simplify right side
   109,010x = 54,654,023,524
5. Step 5: Solve for x
   x = 54,654,023,524/109,010
6. Step 6: Final answer
   x = 501,367.06