Finding the Third Proportional to 315,740 and 676,314

Step by Step Solution

1. Step 1: Write the proportion equation
   315,740 : 676,314 = 676,314 : x
2. Step 2: Convert to fraction form
   315,740/676,314 = 676,314/x
3. Step 3: Cross multiply
   315,740x = 676,314 × 676,314
4. Step 4: Simplify right side
   315,740x = 457,400,626,596
5. Step 5: Solve for x
   x = 457,400,626,596/315,740
6. Step 6: Final answer
   x = 1,448,662.27