Finding the Third Proportional to 155,780 and 337,804

Step by Step Solution

1. Step 1: Write the proportion equation
   155,780 : 337,804 = 337,804 : x
2. Step 2: Convert to fraction form
   155,780/337,804 = 337,804/x
3. Step 3: Cross multiply
   155,780x = 337,804 × 337,804
4. Step 4: Simplify right side
   155,780x = 114,111,542,416
5. Step 5: Solve for x
   x = 114,111,542,416/155,780
6. Step 6: Final answer
   x = 732,517.28