Finding the Third Proportional to 96,471 and 206,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,471 : 206,785.50 = 206,785.50 : x
2. Step 2: Convert to fraction form
   96,471/206,785.50 = 206,785.50/x
3. Step 3: Cross multiply
   96,471x = 206,785.50 × 206,785.50
4. Step 4: Simplify right side
   96,471x = 42,760,243,010.25
5. Step 5: Solve for x
   x = 42,760,243,010.25/96,471
6. Step 6: Final answer
   x = 443,244.53