Finding the Third Proportional to 64,885 and 139,766

Step by Step Solution

1. Step 1: Write the proportion equation
   64,885 : 139,766 = 139,766 : x
2. Step 2: Convert to fraction form
   64,885/139,766 = 139,766/x
3. Step 3: Cross multiply
   64,885x = 139,766 × 139,766
4. Step 4: Simplify right side
   64,885x = 19,534,534,756
5. Step 5: Solve for x
   x = 19,534,534,756/64,885
6. Step 6: Final answer
   x = 301,063.96