Finding the Third Proportional to 64,320 and 133,488

Step by Step Solution

1. Step 1: Write the proportion equation
   64,320 : 133,488 = 133,488 : x
2. Step 2: Convert to fraction form
   64,320/133,488 = 133,488/x
3. Step 3: Cross multiply
   64,320x = 133,488 × 133,488
4. Step 4: Simplify right side
   64,320x = 17,819,046,144
5. Step 5: Solve for x
   x = 17,819,046,144/64,320
6. Step 6: Final answer
   x = 277,037.41