Finding the Third Proportional to 91,727.75 and 197,019.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,727.75 : 197,019.25 = 197,019.25 : x
2. Step 2: Convert to fraction form
   91,727.75/197,019.25 = 197,019.25/x
3. Step 3: Cross multiply
   91,727.75x = 197,019.25 × 197,019.25
4. Step 4: Simplify right side
   91,727.75x = 38,816,584,870.56
5. Step 5: Solve for x
   x = 38,816,584,870.56/91,727.75
6. Step 6: Final answer
   x = 423,171.67