Finding the Third Proportional to 96,276.94 and 205,434.56

Step by Step Solution

1. Step 1: Write the proportion equation
   96,276.94 : 205,434.56 = 205,434.56 : x
2. Step 2: Convert to fraction form
   96,276.94/205,434.56 = 205,434.56/x
3. Step 3: Cross multiply
   96,276.94x = 205,434.56 × 205,434.56
4. Step 4: Simplify right side
   96,276.94x = 42,203,359,469.57
5. Step 5: Solve for x
   x = 42,203,359,469.57/96,276.94
6. Step 6: Final answer
   x = 438,353.78