Finding the Third Proportional to 65,777 and 139,762

Step by Step Solution

1. Step 1: Write the proportion equation
   65,777 : 139,762 = 139,762 : x
2. Step 2: Convert to fraction form
   65,777/139,762 = 139,762/x
3. Step 3: Cross multiply
   65,777x = 139,762 × 139,762
4. Step 4: Simplify right side
   65,777x = 19,533,416,644
5. Step 5: Solve for x
   x = 19,533,416,644/65,777
6. Step 6: Final answer
   x = 296,964.24