Finding the Third Proportional to 215,664 and 469,114

Step by Step Solution

1. Step 1: Write the proportion equation
   215,664 : 469,114 = 469,114 : x
2. Step 2: Convert to fraction form
   215,664/469,114 = 469,114/x
3. Step 3: Cross multiply
   215,664x = 469,114 × 469,114
4. Step 4: Simplify right side
   215,664x = 220,067,944,996
5. Step 5: Solve for x
   x = 220,067,944,996/215,664
6. Step 6: Final answer
   x = 1,020,420.40