Finding the Third Proportional to 338,478 and 735,222

Step by Step Solution

1. Step 1: Write the proportion equation
   338,478 : 735,222 = 735,222 : x
2. Step 2: Convert to fraction form
   338,478/735,222 = 735,222/x
3. Step 3: Cross multiply
   338,478x = 735,222 × 735,222
4. Step 4: Simplify right side
   338,478x = 540,551,389,284
5. Step 5: Solve for x
   x = 540,551,389,284/338,478
6. Step 6: Final answer
   x = 1,597,005.98