Finding the Third Proportional to 65,856 and 139,200

Step by Step Solution

1. Step 1: Write the proportion equation
   65,856 : 139,200 = 139,200 : x
2. Step 2: Convert to fraction form
   65,856/139,200 = 139,200/x
3. Step 3: Cross multiply
   65,856x = 139,200 × 139,200
4. Step 4: Simplify right side
   65,856x = 19,376,640,000
5. Step 5: Solve for x
   x = 19,376,640,000/65,856
6. Step 6: Final answer
   x = 294,227.41