Finding the Third Proportional to 49,767 and 73,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,767 : 73,198.50 = 73,198.50 : x
2. Step 2: Convert to fraction form
   49,767/73,198.50 = 73,198.50/x
3. Step 3: Cross multiply
   49,767x = 73,198.50 × 73,198.50
4. Step 4: Simplify right side
   49,767x = 5,358,020,402.25
5. Step 5: Solve for x
   x = 5,358,020,402.25/49,767
6. Step 6: Final answer
   x = 107,662.11