Finding the Third Proportional to 314,158 and 678,140

Step by Step Solution

1. Step 1: Write the proportion equation
   314,158 : 678,140 = 678,140 : x
2. Step 2: Convert to fraction form
   314,158/678,140 = 678,140/x
3. Step 3: Cross multiply
   314,158x = 678,140 × 678,140
4. Step 4: Simplify right side
   314,158x = 459,873,859,600
5. Step 5: Solve for x
   x = 459,873,859,600/314,158
6. Step 6: Final answer
   x = 1,463,829.86