Finding the Third Proportional to 314,012 and 680,152

Step by Step Solution

1. Step 1: Write the proportion equation
   314,012 : 680,152 = 680,152 : x
2. Step 2: Convert to fraction form
   314,012/680,152 = 680,152/x
3. Step 3: Cross multiply
   314,012x = 680,152 × 680,152
4. Step 4: Simplify right side
   314,012x = 462,606,743,104
5. Step 5: Solve for x
   x = 462,606,743,104/314,012
6. Step 6: Final answer
   x = 1,473,213.58