Finding the Third Proportional to 64,563 and 139,320

Step by Step Solution

1. Step 1: Write the proportion equation
   64,563 : 139,320 = 139,320 : x
2. Step 2: Convert to fraction form
   64,563/139,320 = 139,320/x
3. Step 3: Cross multiply
   64,563x = 139,320 × 139,320
4. Step 4: Simplify right side
   64,563x = 19,410,062,400
5. Step 5: Solve for x
   x = 19,410,062,400/64,563
6. Step 6: Final answer
   x = 300,637.55