Finding the Third Proportional to 472,714 and 701,648

Step by Step Solution

1. Step 1: Write the proportion equation
   472,714 : 701,648 = 701,648 : x
2. Step 2: Convert to fraction form
   472,714/701,648 = 701,648/x
3. Step 3: Cross multiply
   472,714x = 701,648 × 701,648
4. Step 4: Simplify right side
   472,714x = 492,309,915,904
5. Step 5: Solve for x
   x = 492,309,915,904/472,714
6. Step 6: Final answer
   x = 1,041,454.06