Finding the Third Proportional to 109,764 and 228,141

Step by Step Solution

1. Step 1: Write the proportion equation
   109,764 : 228,141 = 228,141 : x
2. Step 2: Convert to fraction form
   109,764/228,141 = 228,141/x
3. Step 3: Cross multiply
   109,764x = 228,141 × 228,141
4. Step 4: Simplify right side
   109,764x = 52,048,315,881
5. Step 5: Solve for x
   x = 52,048,315,881/109,764
6. Step 6: Final answer
   x = 474,183.85