Finding the Third Proportional to 107,796 and 229,200

Step by Step Solution

1. Step 1: Write the proportion equation
   107,796 : 229,200 = 229,200 : x
2. Step 2: Convert to fraction form
   107,796/229,200 = 229,200/x
3. Step 3: Cross multiply
   107,796x = 229,200 × 229,200
4. Step 4: Simplify right side
   107,796x = 52,532,640,000
5. Step 5: Solve for x
   x = 52,532,640,000/107,796
6. Step 6: Final answer
   x = 487,333.85