Finding the Third Proportional to 91,536 and 198,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,536 : 198,296.50 = 198,296.50 : x
2. Step 2: Convert to fraction form
   91,536/198,296.50 = 198,296.50/x
3. Step 3: Cross multiply
   91,536x = 198,296.50 × 198,296.50
4. Step 4: Simplify right side
   91,536x = 39,321,501,912.25
5. Step 5: Solve for x
   x = 39,321,501,912.25/91,536
6. Step 6: Final answer
   x = 429,574.18