Finding the Third Proportional to 105,279 and 228,294

Step by Step Solution

1. Step 1: Write the proportion equation
   105,279 : 228,294 = 228,294 : x
2. Step 2: Convert to fraction form
   105,279/228,294 = 228,294/x
3. Step 3: Cross multiply
   105,279x = 228,294 × 228,294
4. Step 4: Simplify right side
   105,279x = 52,118,150,436
5. Step 5: Solve for x
   x = 52,118,150,436/105,279
6. Step 6: Final answer
   x = 495,047.92