Finding the Third Proportional to 96,458.50 and 200,309

Step by Step Solution

1. Step 1: Write the proportion equation
   96,458.50 : 200,309 = 200,309 : x
2. Step 2: Convert to fraction form
   96,458.50/200,309 = 200,309/x
3. Step 3: Cross multiply
   96,458.50x = 200,309 × 200,309
4. Step 4: Simplify right side
   96,458.50x = 40,123,695,481
5. Step 5: Solve for x
   x = 40,123,695,481/96,458.50
6. Step 6: Final answer
   x = 415,968.48