Finding the Third Proportional to 65,034 and 139,772

Step by Step Solution

1. Step 1: Write the proportion equation
   65,034 : 139,772 = 139,772 : x
2. Step 2: Convert to fraction form
   65,034/139,772 = 139,772/x
3. Step 3: Cross multiply
   65,034x = 139,772 × 139,772
4. Step 4: Simplify right side
   65,034x = 19,536,211,984
5. Step 5: Solve for x
   x = 19,536,211,984/65,034
6. Step 6: Final answer
   x = 300,399.98