Finding the Third Proportional to 142,831.50 and 209,826

Step by Step Solution

1. Step 1: Write the proportion equation
   142,831.50 : 209,826 = 209,826 : x
2. Step 2: Convert to fraction form
   142,831.50/209,826 = 209,826/x
3. Step 3: Cross multiply
   142,831.50x = 209,826 × 209,826
4. Step 4: Simplify right side
   142,831.50x = 44,026,950,276
5. Step 5: Solve for x
   x = 44,026,950,276/142,831.50
6. Step 6: Final answer
   x = 308,243.98