Finding the Third Proportional to 308,976 and 491,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   308,976 : 491,662.50 = 491,662.50 : x
2. Step 2: Convert to fraction form
   308,976/491,662.50 = 491,662.50/x
3. Step 3: Cross multiply
   308,976x = 491,662.50 × 491,662.50
4. Step 4: Simplify right side
   308,976x = 241,732,013,906.25
5. Step 5: Solve for x
   x = 241,732,013,906.25/308,976
6. Step 6: Final answer
   x = 782,365.02