Finding the Third Proportional to 65,948 and 139,742

Step by Step Solution

1. Step 1: Write the proportion equation
   65,948 : 139,742 = 139,742 : x
2. Step 2: Convert to fraction form
   65,948/139,742 = 139,742/x
3. Step 3: Cross multiply
   65,948x = 139,742 × 139,742
4. Step 4: Simplify right side
   65,948x = 19,527,826,564
5. Step 5: Solve for x
   x = 19,527,826,564/65,948
6. Step 6: Final answer
   x = 296,109.46