Finding the Third Proportional to 105,810 and 231,294

Step by Step Solution

1. Step 1: Write the proportion equation
   105,810 : 231,294 = 231,294 : x
2. Step 2: Convert to fraction form
   105,810/231,294 = 231,294/x
3. Step 3: Cross multiply
   105,810x = 231,294 × 231,294
4. Step 4: Simplify right side
   105,810x = 53,496,914,436
5. Step 5: Solve for x
   x = 53,496,914,436/105,810
6. Step 6: Final answer
   x = 505,594.13