Finding the Third Proportional to 217,636 and 468,456

Step by Step Solution

1. Step 1: Write the proportion equation
   217,636 : 468,456 = 468,456 : x
2. Step 2: Convert to fraction form
   217,636/468,456 = 468,456/x
3. Step 3: Cross multiply
   217,636x = 468,456 × 468,456
4. Step 4: Simplify right side
   217,636x = 219,451,023,936
5. Step 5: Solve for x
   x = 219,451,023,936/217,636
6. Step 6: Final answer
   x = 1,008,339.72