Finding the Third Proportional to 105,758 and 228,940

Step by Step Solution

1. Step 1: Write the proportion equation
   105,758 : 228,940 = 228,940 : x
2. Step 2: Convert to fraction form
   105,758/228,940 = 228,940/x
3. Step 3: Cross multiply
   105,758x = 228,940 × 228,940
4. Step 4: Simplify right side
   105,758x = 52,413,523,600
5. Step 5: Solve for x
   x = 52,413,523,600/105,758
6. Step 6: Final answer
   x = 495,598.66