Finding the Third Proportional to 64,864 and 139,733

Step by Step Solution

1. Step 1: Write the proportion equation
   64,864 : 139,733 = 139,733 : x
2. Step 2: Convert to fraction form
   64,864/139,733 = 139,733/x
3. Step 3: Cross multiply
   64,864x = 139,733 × 139,733
4. Step 4: Simplify right side
   64,864x = 19,525,311,289
5. Step 5: Solve for x
   x = 19,525,311,289/64,864
6. Step 6: Final answer
   x = 301,019.23