Finding the Third Proportional to 65,857 and 139,550

Step by Step Solution

1. Step 1: Write the proportion equation
   65,857 : 139,550 = 139,550 : x
2. Step 2: Convert to fraction form
   65,857/139,550 = 139,550/x
3. Step 3: Cross multiply
   65,857x = 139,550 × 139,550
4. Step 4: Simplify right side
   65,857x = 19,474,202,500
5. Step 5: Solve for x
   x = 19,474,202,500/65,857
6. Step 6: Final answer
   x = 295,704.37