Finding the Third Proportional to 72,144 and 154,128

Step by Step Solution

1. Step 1: Write the proportion equation
   72,144 : 154,128 = 154,128 : x
2. Step 2: Convert to fraction form
   72,144/154,128 = 154,128/x
3. Step 3: Cross multiply
   72,144x = 154,128 × 154,128
4. Step 4: Simplify right side
   72,144x = 23,755,440,384
5. Step 5: Solve for x
   x = 23,755,440,384/72,144
6. Step 6: Final answer
   x = 329,278.12