Finding the Third Proportional to 106,812 and 231,156

Step by Step Solution

1. Step 1: Write the proportion equation
   106,812 : 231,156 = 231,156 : x
2. Step 2: Convert to fraction form
   106,812/231,156 = 231,156/x
3. Step 3: Cross multiply
   106,812x = 231,156 × 231,156
4. Step 4: Simplify right side
   106,812x = 53,433,096,336
5. Step 5: Solve for x
   x = 53,433,096,336/106,812
6. Step 6: Final answer
   x = 500,253.68