Finding the Third Proportional to 64,001 and 139,648

Step by Step Solution

1. Step 1: Write the proportion equation
   64,001 : 139,648 = 139,648 : x
2. Step 2: Convert to fraction form
   64,001/139,648 = 139,648/x
3. Step 3: Cross multiply
   64,001x = 139,648 × 139,648
4. Step 4: Simplify right side
   64,001x = 19,501,563,904
5. Step 5: Solve for x
   x = 19,501,563,904/64,001
6. Step 6: Final answer
   x = 304,707.17