Finding the Third Proportional to 137,993 and 297,760

Step by Step Solution

1. Step 1: Write the proportion equation
   137,993 : 297,760 = 297,760 : x
2. Step 2: Convert to fraction form
   137,993/297,760 = 297,760/x
3. Step 3: Cross multiply
   137,993x = 297,760 × 297,760
4. Step 4: Simplify right side
   137,993x = 88,661,017,600
5. Step 5: Solve for x
   x = 88,661,017,600/137,993
6. Step 6: Final answer
   x = 642,503.73