Finding the Third Proportional to 456,784 and 702,648

Step by Step Solution

1. Step 1: Write the proportion equation
   456,784 : 702,648 = 702,648 : x
2. Step 2: Convert to fraction form
   456,784/702,648 = 702,648/x
3. Step 3: Cross multiply
   456,784x = 702,648 × 702,648
4. Step 4: Simplify right side
   456,784x = 493,714,211,904
5. Step 5: Solve for x
   x = 493,714,211,904/456,784
6. Step 6: Final answer
   x = 1,080,848.30