Finding the Third Proportional to 314,006 and 680,140

Step by Step Solution

1. Step 1: Write the proportion equation
   314,006 : 680,140 = 680,140 : x
2. Step 2: Convert to fraction form
   314,006/680,140 = 680,140/x
3. Step 3: Cross multiply
   314,006x = 680,140 × 680,140
4. Step 4: Simplify right side
   314,006x = 462,590,419,600
5. Step 5: Solve for x
   x = 462,590,419,600/314,006
6. Step 6: Final answer
   x = 1,473,189.75