Finding the Third Proportional to 105,418 and 231,572

Step by Step Solution

1. Step 1: Write the proportion equation
   105,418 : 231,572 = 231,572 : x
2. Step 2: Convert to fraction form
   105,418/231,572 = 231,572/x
3. Step 3: Cross multiply
   105,418x = 231,572 × 231,572
4. Step 4: Simplify right side
   105,418x = 53,625,591,184
5. Step 5: Solve for x
   x = 53,625,591,184/105,418
6. Step 6: Final answer
   x = 508,694.83