Finding the Third Proportional to 64,320 and 139,008

Step by Step Solution

1. Step 1: Write the proportion equation
   64,320 : 139,008 = 139,008 : x
2. Step 2: Convert to fraction form
   64,320/139,008 = 139,008/x
3. Step 3: Cross multiply
   64,320x = 139,008 × 139,008
4. Step 4: Simplify right side
   64,320x = 19,323,224,064
5. Step 5: Solve for x
   x = 19,323,224,064/64,320
6. Step 6: Final answer
   x = 300,423.26