Finding the Third Proportional to 91,866 and 196,853.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,866 : 196,853.25 = 196,853.25 : x
2. Step 2: Convert to fraction form
   91,866/196,853.25 = 196,853.25/x
3. Step 3: Cross multiply
   91,866x = 196,853.25 × 196,853.25
4. Step 4: Simplify right side
   91,866x = 38,751,202,035.56
5. Step 5: Solve for x
   x = 38,751,202,035.56/91,866
6. Step 6: Final answer
   x = 421,823.11