Finding the Third Proportional to 345,978 and 736,596

Step by Step Solution

1. Step 1: Write the proportion equation
   345,978 : 736,596 = 736,596 : x
2. Step 2: Convert to fraction form
   345,978/736,596 = 736,596/x
3. Step 3: Cross multiply
   345,978x = 736,596 × 736,596
4. Step 4: Simplify right side
   345,978x = 542,573,667,216
5. Step 5: Solve for x
   x = 542,573,667,216/345,978
6. Step 6: Final answer
   x = 1,568,231.70