Finding the Third Proportional to 64,224 and 139,632

Step by Step Solution

1. Step 1: Write the proportion equation
   64,224 : 139,632 = 139,632 : x
2. Step 2: Convert to fraction form
   64,224/139,632 = 139,632/x
3. Step 3: Cross multiply
   64,224x = 139,632 × 139,632
4. Step 4: Simplify right side
   64,224x = 19,497,095,424
5. Step 5: Solve for x
   x = 19,497,095,424/64,224
6. Step 6: Final answer
   x = 303,579.59