Finding the Third Proportional to 49,767.50 and 105,367

Step by Step Solution

1. Step 1: Write the proportion equation
   49,767.50 : 105,367 = 105,367 : x
2. Step 2: Convert to fraction form
   49,767.50/105,367 = 105,367/x
3. Step 3: Cross multiply
   49,767.50x = 105,367 × 105,367
4. Step 4: Simplify right side
   49,767.50x = 11,102,204,689
5. Step 5: Solve for x
   x = 11,102,204,689/49,767.50
6. Step 6: Final answer
   x = 223,081.42