Finding the Third Proportional to 211,832 and 465,642

Step by Step Solution

1. Step 1: Write the proportion equation
   211,832 : 465,642 = 465,642 : x
2. Step 2: Convert to fraction form
   211,832/465,642 = 465,642/x
3. Step 3: Cross multiply
   211,832x = 465,642 × 465,642
4. Step 4: Simplify right side
   211,832x = 216,822,472,164
5. Step 5: Solve for x
   x = 216,822,472,164/211,832
6. Step 6: Final answer
   x = 1,023,558.63