Finding the Third Proportional to 359,584 and 788,288

Step by Step Solution

1. Step 1: Write the proportion equation
   359,584 : 788,288 = 788,288 : x
2. Step 2: Convert to fraction form
   359,584/788,288 = 788,288/x
3. Step 3: Cross multiply
   359,584x = 788,288 × 788,288
4. Step 4: Simplify right side
   359,584x = 621,397,970,944
5. Step 5: Solve for x
   x = 621,397,970,944/359,584
6. Step 6: Final answer
   x = 1,728,102.39