Finding the Third Proportional to 65,772 and 139,743

Step by Step Solution

1. Step 1: Write the proportion equation
   65,772 : 139,743 = 139,743 : x
2. Step 2: Convert to fraction form
   65,772/139,743 = 139,743/x
3. Step 3: Cross multiply
   65,772x = 139,743 × 139,743
4. Step 4: Simplify right side
   65,772x = 19,528,106,049
5. Step 5: Solve for x
   x = 19,528,106,049/65,772
6. Step 6: Final answer
   x = 296,906.07