Finding the Third Proportional to 215,584 and 465,584

Step by Step Solution

1. Step 1: Write the proportion equation
   215,584 : 465,584 = 465,584 : x
2. Step 2: Convert to fraction form
   215,584/465,584 = 465,584/x
3. Step 3: Cross multiply
   215,584x = 465,584 × 465,584
4. Step 4: Simplify right side
   215,584x = 216,768,461,056
5. Step 5: Solve for x
   x = 216,768,461,056/215,584
6. Step 6: Final answer
   x = 1,005,494.20