Finding the Third Proportional to 314,008 and 680,144

Step by Step Solution

1. Step 1: Write the proportion equation
   314,008 : 680,144 = 680,144 : x
2. Step 2: Convert to fraction form
   314,008/680,144 = 680,144/x
3. Step 3: Cross multiply
   314,008x = 680,144 × 680,144
4. Step 4: Simplify right side
   314,008x = 462,595,860,736
5. Step 5: Solve for x
   x = 462,595,860,736/314,008
6. Step 6: Final answer
   x = 1,473,197.69