Finding the Third Proportional to 215,586 and 465,588

Step by Step Solution

1. Step 1: Write the proportion equation
   215,586 : 465,588 = 465,588 : x
2. Step 2: Convert to fraction form
   215,586/465,588 = 465,588/x
3. Step 3: Cross multiply
   215,586x = 465,588 × 465,588
4. Step 4: Simplify right side
   215,586x = 216,772,185,744
5. Step 5: Solve for x
   x = 216,772,185,744/215,586
6. Step 6: Final answer
   x = 1,005,502.15