Finding the Third Proportional to 105,762 and 228,948

Step by Step Solution

1. Step 1: Write the proportion equation
   105,762 : 228,948 = 228,948 : x
2. Step 2: Convert to fraction form
   105,762/228,948 = 228,948/x
3. Step 3: Cross multiply
   105,762x = 228,948 × 228,948
4. Step 4: Simplify right side
   105,762x = 52,417,186,704
5. Step 5: Solve for x
   x = 52,417,186,704/105,762
6. Step 6: Final answer
   x = 495,614.56