Finding the Third Proportional to 314,435.25 and 678,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,435.25 : 678,658.50 = 678,658.50 : x
2. Step 2: Convert to fraction form
   314,435.25/678,658.50 = 678,658.50/x
3. Step 3: Cross multiply
   314,435.25x = 678,658.50 × 678,658.50
4. Step 4: Simplify right side
   314,435.25x = 460,577,359,622.25
5. Step 5: Solve for x
   x = 460,577,359,622.25/314,435.25
6. Step 6: Final answer
   x = 1,464,776.48