Finding the Third Proportional to 109,812 and 229,156

Step by Step Solution

1. Step 1: Write the proportion equation
   109,812 : 229,156 = 229,156 : x
2. Step 2: Convert to fraction form
   109,812/229,156 = 229,156/x
3. Step 3: Cross multiply
   109,812x = 229,156 × 229,156
4. Step 4: Simplify right side
   109,812x = 52,512,472,336
5. Step 5: Solve for x
   x = 52,512,472,336/109,812
6. Step 6: Final answer
   x = 478,203.41