Finding the Third Proportional to 64,998 and 139,670

Step by Step Solution

1. Step 1: Write the proportion equation
   64,998 : 139,670 = 139,670 : x
2. Step 2: Convert to fraction form
   64,998/139,670 = 139,670/x
3. Step 3: Cross multiply
   64,998x = 139,670 × 139,670
4. Step 4: Simplify right side
   64,998x = 19,507,708,900
5. Step 5: Solve for x
   x = 19,507,708,900/64,998
6. Step 6: Final answer
   x = 300,127.83