Finding the Third Proportional to 96,760.50 and 205,266

Step by Step Solution

1. Step 1: Write the proportion equation
   96,760.50 : 205,266 = 205,266 : x
2. Step 2: Convert to fraction form
   96,760.50/205,266 = 205,266/x
3. Step 3: Cross multiply
   96,760.50x = 205,266 × 205,266
4. Step 4: Simplify right side
   96,760.50x = 42,134,130,756
5. Step 5: Solve for x
   x = 42,134,130,756/96,760.50
6. Step 6: Final answer
   x = 435,447.63