Finding the Third Proportional to 338,353 and 736,978

Step by Step Solution

1. Step 1: Write the proportion equation
   338,353 : 736,978 = 736,978 : x
2. Step 2: Convert to fraction form
   338,353/736,978 = 736,978/x
3. Step 3: Cross multiply
   338,353x = 736,978 × 736,978
4. Step 4: Simplify right side
   338,353x = 543,136,572,484
5. Step 5: Solve for x
   x = 543,136,572,484/338,353
6. Step 6: Final answer
   x = 1,605,236.46