Finding the Third Proportional to 91,866.75 and 196,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,866.75 : 196,855.50 = 196,855.50 : x
2. Step 2: Convert to fraction form
   91,866.75/196,855.50 = 196,855.50/x
3. Step 3: Cross multiply
   91,866.75x = 196,855.50 × 196,855.50
4. Step 4: Simplify right side
   91,866.75x = 38,752,087,880.25
5. Step 5: Solve for x
   x = 38,752,087,880.25/91,866.75
6. Step 6: Final answer
   x = 421,829.31