Finding the Third Proportional to 106,314 and 227,892

Step by Step Solution

1. Step 1: Write the proportion equation
   106,314 : 227,892 = 227,892 : x
2. Step 2: Convert to fraction form
   106,314/227,892 = 227,892/x
3. Step 3: Cross multiply
   106,314x = 227,892 × 227,892
4. Step 4: Simplify right side
   106,314x = 51,934,763,664
5. Step 5: Solve for x
   x = 51,934,763,664/106,314
6. Step 6: Final answer
   x = 488,503.52