Finding the Third Proportional to 91,305 and 199,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,305 : 199,216.50 = 199,216.50 : x
2. Step 2: Convert to fraction form
   91,305/199,216.50 = 199,216.50/x
3. Step 3: Cross multiply
   91,305x = 199,216.50 × 199,216.50
4. Step 4: Simplify right side
   91,305x = 39,687,213,872.25
5. Step 5: Solve for x
   x = 39,687,213,872.25/91,305
6. Step 6: Final answer
   x = 434,666.38