Finding the Third Proportional to 105,266 and 233,860

Step by Step Solution

1. Step 1: Write the proportion equation
   105,266 : 233,860 = 233,860 : x
2. Step 2: Convert to fraction form
   105,266/233,860 = 233,860/x
3. Step 3: Cross multiply
   105,266x = 233,860 × 233,860
4. Step 4: Simplify right side
   105,266x = 54,690,499,600
5. Step 5: Solve for x
   x = 54,690,499,600/105,266
6. Step 6: Final answer
   x = 519,545.72