Finding the Third Proportional to 65,776 and 139,760

Step by Step Solution

1. Step 1: Write the proportion equation
   65,776 : 139,760 = 139,760 : x
2. Step 2: Convert to fraction form
   65,776/139,760 = 139,760/x
3. Step 3: Cross multiply
   65,776x = 139,760 × 139,760
4. Step 4: Simplify right side
   65,776x = 19,532,857,600
5. Step 5: Solve for x
   x = 19,532,857,600/65,776
6. Step 6: Final answer
   x = 296,960.25