Finding the Third Proportional to 314,250 and 678,300

Step by Step Solution

1. Step 1: Write the proportion equation
   314,250 : 678,300 = 678,300 : x
2. Step 2: Convert to fraction form
   314,250/678,300 = 678,300/x
3. Step 3: Cross multiply
   314,250x = 678,300 × 678,300
4. Step 4: Simplify right side
   314,250x = 460,090,890,000
5. Step 5: Solve for x
   x = 460,090,890,000/314,250
6. Step 6: Final answer
   x = 1,464,091.93