Finding the Third Proportional to 146,300 and 314,800

Step by Step Solution

1. Step 1: Write the proportion equation
   146,300 : 314,800 = 314,800 : x
2. Step 2: Convert to fraction form
   146,300/314,800 = 314,800/x
3. Step 3: Cross multiply
   146,300x = 314,800 × 314,800
4. Step 4: Simplify right side
   146,300x = 99,099,040,000
5. Step 5: Solve for x
   x = 99,099,040,000/146,300
6. Step 6: Final answer
   x = 677,368.69