Finding the Third Proportional to 215,658 and 465,012

Step by Step Solution

1. Step 1: Write the proportion equation
   215,658 : 465,012 = 465,012 : x
2. Step 2: Convert to fraction form
   215,658/465,012 = 465,012/x
3. Step 3: Cross multiply
   215,658x = 465,012 × 465,012
4. Step 4: Simplify right side
   215,658x = 216,236,160,144
5. Step 5: Solve for x
   x = 216,236,160,144/215,658
6. Step 6: Final answer
   x = 1,002,680.91