Finding the Third Proportional to 314,245.50 and 678,291

Step by Step Solution

1. Step 1: Write the proportion equation
   314,245.50 : 678,291 = 678,291 : x
2. Step 2: Convert to fraction form
   314,245.50/678,291 = 678,291/x
3. Step 3: Cross multiply
   314,245.50x = 678,291 × 678,291
4. Step 4: Simplify right side
   314,245.50x = 460,078,680,681
5. Step 5: Solve for x
   x = 460,078,680,681/314,245.50
6. Step 6: Final answer
   x = 1,464,074.05