Finding the Third Proportional to 65,037 and 139,746

Step by Step Solution

1. Step 1: Write the proportion equation
   65,037 : 139,746 = 139,746 : x
2. Step 2: Convert to fraction form
   65,037/139,746 = 139,746/x
3. Step 3: Cross multiply
   65,037x = 139,746 × 139,746
4. Step 4: Simplify right side
   65,037x = 19,528,944,516
5. Step 5: Solve for x
   x = 19,528,944,516/65,037
6. Step 6: Final answer
   x = 300,274.37