Finding the Third Proportional to 208,586 and 458,632

Step by Step Solution

1. Step 1: Write the proportion equation
   208,586 : 458,632 = 458,632 : x
2. Step 2: Convert to fraction form
   208,586/458,632 = 458,632/x
3. Step 3: Cross multiply
   208,586x = 458,632 × 458,632
4. Step 4: Simplify right side
   208,586x = 210,343,311,424
5. Step 5: Solve for x
   x = 210,343,311,424/208,586
6. Step 6: Final answer
   x = 1,008,424.88