Finding the Third Proportional to 314,010 and 680,670

Step by Step Solution

1. Step 1: Write the proportion equation
   314,010 : 680,670 = 680,670 : x
2. Step 2: Convert to fraction form
   314,010/680,670 = 680,670/x
3. Step 3: Cross multiply
   314,010x = 680,670 × 680,670
4. Step 4: Simplify right side
   314,010x = 463,311,648,900
5. Step 5: Solve for x
   x = 463,311,648,900/314,010
6. Step 6: Final answer
   x = 1,475,467.82