Finding the Third Proportional to 338,362 and 735,020

Step by Step Solution

1. Step 1: Write the proportion equation
   338,362 : 735,020 = 735,020 : x
2. Step 2: Convert to fraction form
   338,362/735,020 = 735,020/x
3. Step 3: Cross multiply
   338,362x = 735,020 × 735,020
4. Step 4: Simplify right side
   338,362x = 540,254,400,400
5. Step 5: Solve for x
   x = 540,254,400,400/338,362
6. Step 6: Final answer
   x = 1,596,675.75