Finding the Third Proportional to 49,727.25 and 102,370.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,727.25 : 102,370.50 = 102,370.50 : x
2. Step 2: Convert to fraction form
   49,727.25/102,370.50 = 102,370.50/x
3. Step 3: Cross multiply
   49,727.25x = 102,370.50 × 102,370.50
4. Step 4: Simplify right side
   49,727.25x = 10,479,719,270.25
5. Step 5: Solve for x
   x = 10,479,719,270.25/49,727.25
6. Step 6: Final answer
   x = 210,743.99