Finding the Third Proportional to 49,224 and 107,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,224 : 107,983.50 = 107,983.50 : x
2. Step 2: Convert to fraction form
   49,224/107,983.50 = 107,983.50/x
3. Step 3: Cross multiply
   49,224x = 107,983.50 × 107,983.50
4. Step 4: Simplify right side
   49,224x = 11,660,436,272.25
5. Step 5: Solve for x
   x = 11,660,436,272.25/49,224
6. Step 6: Final answer
   x = 236,885.18