Finding the Third Proportional to 64,986 and 139,644

Step by Step Solution

1. Step 1: Write the proportion equation
   64,986 : 139,644 = 139,644 : x
2. Step 2: Convert to fraction form
   64,986/139,644 = 139,644/x
3. Step 3: Cross multiply
   64,986x = 139,644 × 139,644
4. Step 4: Simplify right side
   64,986x = 19,500,446,736
5. Step 5: Solve for x
   x = 19,500,446,736/64,986
6. Step 6: Final answer
   x = 300,071.50