Finding the Third Proportional to 107,748 and 229,320

Step by Step Solution

1. Step 1: Write the proportion equation
   107,748 : 229,320 = 229,320 : x
2. Step 2: Convert to fraction form
   107,748/229,320 = 229,320/x
3. Step 3: Cross multiply
   107,748x = 229,320 × 229,320
4. Step 4: Simplify right side
   107,748x = 52,587,662,400
5. Step 5: Solve for x
   x = 52,587,662,400/107,748
6. Step 6: Final answer
   x = 488,061.61