Finding the Third Proportional to 359,588 and 788,296

Step by Step Solution

1. Step 1: Write the proportion equation
   359,588 : 788,296 = 788,296 : x
2. Step 2: Convert to fraction form
   359,588/788,296 = 788,296/x
3. Step 3: Cross multiply
   359,588x = 788,296 × 788,296
4. Step 4: Simplify right side
   359,588x = 621,410,583,616
5. Step 5: Solve for x
   x = 621,410,583,616/359,588
6. Step 6: Final answer
   x = 1,728,118.25