Finding the Third Proportional to 64,001 and 139,558

Step by Step Solution

1. Step 1: Write the proportion equation
   64,001 : 139,558 = 139,558 : x
2. Step 2: Convert to fraction form
   64,001/139,558 = 139,558/x
3. Step 3: Cross multiply
   64,001x = 139,558 × 139,558
4. Step 4: Simplify right side
   64,001x = 19,476,435,364
5. Step 5: Solve for x
   x = 19,476,435,364/64,001
6. Step 6: Final answer
   x = 304,314.55