Finding the Third Proportional to 417,648 and 636,264

Step by Step Solution

1. Step 1: Write the proportion equation
   417,648 : 636,264 = 636,264 : x
2. Step 2: Convert to fraction form
   417,648/636,264 = 636,264/x
3. Step 3: Cross multiply
   417,648x = 636,264 × 636,264
4. Step 4: Simplify right side
   417,648x = 404,831,877,696
5. Step 5: Solve for x
   x = 404,831,877,696/417,648
6. Step 6: Final answer
   x = 969,313.58