Finding the Third Proportional to 109,831.50 and 238,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,831.50 : 238,981.50 = 238,981.50 : x
2. Step 2: Convert to fraction form
   109,831.50/238,981.50 = 238,981.50/x
3. Step 3: Cross multiply
   109,831.50x = 238,981.50 × 238,981.50
4. Step 4: Simplify right side
   109,831.50x = 57,112,157,342.25
5. Step 5: Solve for x
   x = 57,112,157,342.25/109,831.50
6. Step 6: Final answer
   x = 519,997.97