Finding the Third Proportional to 49,065.75 and 100,206

Step by Step Solution

1. Step 1: Write the proportion equation
   49,065.75 : 100,206 = 100,206 : x
2. Step 2: Convert to fraction form
   49,065.75/100,206 = 100,206/x
3. Step 3: Cross multiply
   49,065.75x = 100,206 × 100,206
4. Step 4: Simplify right side
   49,065.75x = 10,041,242,436
5. Step 5: Solve for x
   x = 10,041,242,436/49,065.75
6. Step 6: Final answer
   x = 204,648.71