Finding the Third Proportional to 49,443 and 109,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,443 : 109,564.50 = 109,564.50 : x
2. Step 2: Convert to fraction form
   49,443/109,564.50 = 109,564.50/x
3. Step 3: Cross multiply
   49,443x = 109,564.50 × 109,564.50
4. Step 4: Simplify right side
   49,443x = 12,004,379,660.25
5. Step 5: Solve for x
   x = 12,004,379,660.25/49,443
6. Step 6: Final answer
   x = 242,792.30