Finding the Third Proportional to 65,106 and 139,524

Step by Step Solution

1. Step 1: Write the proportion equation
   65,106 : 139,524 = 139,524 : x
2. Step 2: Convert to fraction form
   65,106/139,524 = 139,524/x
3. Step 3: Cross multiply
   65,106x = 139,524 × 139,524
4. Step 4: Simplify right side
   65,106x = 19,466,946,576
5. Step 5: Solve for x
   x = 19,466,946,576/65,106
6. Step 6: Final answer
   x = 299,003.88