Finding the Third Proportional to 109,772 and 228,156

Step by Step Solution

1. Step 1: Write the proportion equation
   109,772 : 228,156 = 228,156 : x
2. Step 2: Convert to fraction form
   109,772/228,156 = 228,156/x
3. Step 3: Cross multiply
   109,772x = 228,156 × 228,156
4. Step 4: Simplify right side
   109,772x = 52,055,160,336
5. Step 5: Solve for x
   x = 52,055,160,336/109,772
6. Step 6: Final answer
   x = 474,211.64