Finding the Third Proportional to 137,041 and 298,983

Step by Step Solution

1. Step 1: Write the proportion equation
   137,041 : 298,983 = 298,983 : x
2. Step 2: Convert to fraction form
   137,041/298,983 = 298,983/x
3. Step 3: Cross multiply
   137,041x = 298,983 × 298,983
4. Step 4: Simplify right side
   137,041x = 89,390,834,289
5. Step 5: Solve for x
   x = 89,390,834,289/137,041
6. Step 6: Final answer
   x = 652,292.63