Finding the Third Proportional to 106,078.50 and 228,762

Step by Step Solution

1. Step 1: Write the proportion equation
   106,078.50 : 228,762 = 228,762 : x
2. Step 2: Convert to fraction form
   106,078.50/228,762 = 228,762/x
3. Step 3: Cross multiply
   106,078.50x = 228,762 × 228,762
4. Step 4: Simplify right side
   106,078.50x = 52,332,052,644
5. Step 5: Solve for x
   x = 52,332,052,644/106,078.50
6. Step 6: Final answer
   x = 493,333.26