Finding the Third Proportional to 338,412 and 735,144

Step by Step Solution

1. Step 1: Write the proportion equation
   338,412 : 735,144 = 735,144 : x
2. Step 2: Convert to fraction form
   338,412/735,144 = 735,144/x
3. Step 3: Cross multiply
   338,412x = 735,144 × 735,144
4. Step 4: Simplify right side
   338,412x = 540,436,700,736
5. Step 5: Solve for x
   x = 540,436,700,736/338,412
6. Step 6: Final answer
   x = 1,596,978.54