Finding the Third Proportional to 105,748 and 228,920

Step by Step Solution

1. Step 1: Write the proportion equation
   105,748 : 228,920 = 228,920 : x
2. Step 2: Convert to fraction form
   105,748/228,920 = 228,920/x
3. Step 3: Cross multiply
   105,748x = 228,920 × 228,920
4. Step 4: Simplify right side
   105,748x = 52,404,366,400
5. Step 5: Solve for x
   x = 52,404,366,400/105,748
6. Step 6: Final answer
   x = 495,558.94