Finding the Third Proportional to 96,458 and 200,308

Step by Step Solution

1. Step 1: Write the proportion equation
   96,458 : 200,308 = 200,308 : x
2. Step 2: Convert to fraction form
   96,458/200,308 = 200,308/x
3. Step 3: Cross multiply
   96,458x = 200,308 × 200,308
4. Step 4: Simplify right side
   96,458x = 40,123,294,864
5. Step 5: Solve for x
   x = 40,123,294,864/96,458
6. Step 6: Final answer
   x = 415,966.48