Finding the Third Proportional to 470,410 and 706,674

Step by Step Solution

1. Step 1: Write the proportion equation
   470,410 : 706,674 = 706,674 : x
2. Step 2: Convert to fraction form
   470,410/706,674 = 706,674/x
3. Step 3: Cross multiply
   470,410x = 706,674 × 706,674
4. Step 4: Simplify right side
   470,410x = 499,388,142,276
5. Step 5: Solve for x
   x = 499,388,142,276/470,410
6. Step 6: Final answer
   x = 1,061,601.88