Finding the Third Proportional to 219,314 and 471,892

Step by Step Solution

1. Step 1: Write the proportion equation
   219,314 : 471,892 = 471,892 : x
2. Step 2: Convert to fraction form
   219,314/471,892 = 471,892/x
3. Step 3: Cross multiply
   219,314x = 471,892 × 471,892
4. Step 4: Simplify right side
   219,314x = 222,682,059,664
5. Step 5: Solve for x
   x = 222,682,059,664/219,314
6. Step 6: Final answer
   x = 1,015,357.25