Finding the Third Proportional to 146,164.50 and 315,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,164.50 : 315,643.50 = 315,643.50 : x
2. Step 2: Convert to fraction form
   146,164.50/315,643.50 = 315,643.50/x
3. Step 3: Cross multiply
   146,164.50x = 315,643.50 × 315,643.50
4. Step 4: Simplify right side
   146,164.50x = 99,630,819,092.25
5. Step 5: Solve for x
   x = 99,630,819,092.25/146,164.50
6. Step 6: Final answer
   x = 681,634.86