Finding the Third Proportional to 105,600 and 229,416

Step by Step Solution

1. Step 1: Write the proportion equation
   105,600 : 229,416 = 229,416 : x
2. Step 2: Convert to fraction form
   105,600/229,416 = 229,416/x
3. Step 3: Cross multiply
   105,600x = 229,416 × 229,416
4. Step 4: Simplify right side
   105,600x = 52,631,701,056
5. Step 5: Solve for x
   x = 52,631,701,056/105,600
6. Step 6: Final answer
   x = 498,406.26