Finding the Third Proportional to 146,144.75 and 314,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,144.75 : 314,046.50 = 314,046.50 : x
2. Step 2: Convert to fraction form
   146,144.75/314,046.50 = 314,046.50/x
3. Step 3: Cross multiply
   146,144.75x = 314,046.50 × 314,046.50
4. Step 4: Simplify right side
   146,144.75x = 98,625,204,162.25
5. Step 5: Solve for x
   x = 98,625,204,162.25/146,144.75
6. Step 6: Final answer
   x = 674,846.03