Finding the Third Proportional to 49,736.50 and 101,771

Step by Step Solution

1. Step 1: Write the proportion equation
   49,736.50 : 101,771 = 101,771 : x
2. Step 2: Convert to fraction form
   49,736.50/101,771 = 101,771/x
3. Step 3: Cross multiply
   49,736.50x = 101,771 × 101,771
4. Step 4: Simplify right side
   49,736.50x = 10,357,336,441
5. Step 5: Solve for x
   x = 10,357,336,441/49,736.50
6. Step 6: Final answer
   x = 208,244.18