Finding the Third Proportional to 69,144 and 148,128

Step by Step Solution

1. Step 1: Write the proportion equation
   69,144 : 148,128 = 148,128 : x
2. Step 2: Convert to fraction form
   69,144/148,128 = 148,128/x
3. Step 3: Cross multiply
   69,144x = 148,128 × 148,128
4. Step 4: Simplify right side
   69,144x = 21,941,904,384
5. Step 5: Solve for x
   x = 21,941,904,384/69,144
6. Step 6: Final answer
   x = 317,336.35