Finding the Third Proportional to 208,426 and 424,216

Step by Step Solution

1. Step 1: Write the proportion equation
   208,426 : 424,216 = 424,216 : x
2. Step 2: Convert to fraction form
   208,426/424,216 = 424,216/x
3. Step 3: Cross multiply
   208,426x = 424,216 × 424,216
4. Step 4: Simplify right side
   208,426x = 179,959,214,656
5. Step 5: Solve for x
   x = 179,959,214,656/208,426
6. Step 6: Final answer
   x = 863,420.18