Finding the Third Proportional to 64,666 and 139,526

Step by Step Solution

1. Step 1: Write the proportion equation
   64,666 : 139,526 = 139,526 : x
2. Step 2: Convert to fraction form
   64,666/139,526 = 139,526/x
3. Step 3: Cross multiply
   64,666x = 139,526 × 139,526
4. Step 4: Simplify right side
   64,666x = 19,467,504,676
5. Step 5: Solve for x
   x = 19,467,504,676/64,666
6. Step 6: Final answer
   x = 301,046.99