Finding the Third Proportional to 216,146 and 465,584

Step by Step Solution

1. Step 1: Write the proportion equation
   216,146 : 465,584 = 465,584 : x
2. Step 2: Convert to fraction form
   216,146/465,584 = 465,584/x
3. Step 3: Cross multiply
   216,146x = 465,584 × 465,584
4. Step 4: Simplify right side
   216,146x = 216,768,461,056
5. Step 5: Solve for x
   x = 216,768,461,056/216,146
6. Step 6: Final answer
   x = 1,002,879.82