Finding the Third Proportional to 91,509.75 and 213,789.38

Step by Step Solution

1. Step 1: Write the proportion equation
   91,509.75 : 213,789.38 = 213,789.38 : x
2. Step 2: Convert to fraction form
   91,509.75/213,789.38 = 213,789.38/x
3. Step 3: Cross multiply
   91,509.75x = 213,789.38 × 213,789.38
4. Step 4: Simplify right side
   91,509.75x = 45,705,896,862.89
5. Step 5: Solve for x
   x = 45,705,896,862.89/91,509.75
6. Step 6: Final answer
   x = 499,464.78