Finding the Third Proportional to 72,256 and 154,528

Step by Step Solution

1. Step 1: Write the proportion equation
   72,256 : 154,528 = 154,528 : x
2. Step 2: Convert to fraction form
   72,256/154,528 = 154,528/x
3. Step 3: Cross multiply
   72,256x = 154,528 × 154,528
4. Step 4: Simplify right side
   72,256x = 23,878,902,784
5. Step 5: Solve for x
   x = 23,878,902,784/72,256
6. Step 6: Final answer
   x = 330,476.40