Finding the Third Proportional to 105,342 and 229,620

Step by Step Solution

1. Step 1: Write the proportion equation
   105,342 : 229,620 = 229,620 : x
2. Step 2: Convert to fraction form
   105,342/229,620 = 229,620/x
3. Step 3: Cross multiply
   105,342x = 229,620 × 229,620
4. Step 4: Simplify right side
   105,342x = 52,725,344,400
5. Step 5: Solve for x
   x = 52,725,344,400/105,342
6. Step 6: Final answer
   x = 500,515.89