Finding the Third Proportional to 105,614 and 229,516

Step by Step Solution

1. Step 1: Write the proportion equation
   105,614 : 229,516 = 229,516 : x
2. Step 2: Convert to fraction form
   105,614/229,516 = 229,516/x
3. Step 3: Cross multiply
   105,614x = 229,516 × 229,516
4. Step 4: Simplify right side
   105,614x = 52,677,594,256
5. Step 5: Solve for x
   x = 52,677,594,256/105,614
6. Step 6: Final answer
   x = 498,774.73