Finding the Third Proportional to 137,738 and 298,628

Step by Step Solution

1. Step 1: Write the proportion equation
   137,738 : 298,628 = 298,628 : x
2. Step 2: Convert to fraction form
   137,738/298,628 = 298,628/x
3. Step 3: Cross multiply
   137,738x = 298,628 × 298,628
4. Step 4: Simplify right side
   137,738x = 89,178,682,384
5. Step 5: Solve for x
   x = 89,178,682,384/137,738
6. Step 6: Final answer
   x = 647,451.56