Finding the Third Proportional to 65,638 and 139,478

Step by Step Solution

1. Step 1: Write the proportion equation
   65,638 : 139,478 = 139,478 : x
2. Step 2: Convert to fraction form
   65,638/139,478 = 139,478/x
3. Step 3: Cross multiply
   65,638x = 139,478 × 139,478
4. Step 4: Simplify right side
   65,638x = 19,454,112,484
5. Step 5: Solve for x
   x = 19,454,112,484/65,638
6. Step 6: Final answer
   x = 296,384.91