Finding the Third Proportional to 333,608 and 491,584

Step by Step Solution

1. Step 1: Write the proportion equation
   333,608 : 491,584 = 491,584 : x
2. Step 2: Convert to fraction form
   333,608/491,584 = 491,584/x
3. Step 3: Cross multiply
   333,608x = 491,584 × 491,584
4. Step 4: Simplify right side
   333,608x = 241,654,829,056
5. Step 5: Solve for x
   x = 241,654,829,056/333,608
6. Step 6: Final answer
   x = 724,367.61