Finding the Third Proportional to 72,789 and 154,327

Step by Step Solution

1. Step 1: Write the proportion equation
   72,789 : 154,327 = 154,327 : x
2. Step 2: Convert to fraction form
   72,789/154,327 = 154,327/x
3. Step 3: Cross multiply
   72,789x = 154,327 × 154,327
4. Step 4: Simplify right side
   72,789x = 23,816,822,929
5. Step 5: Solve for x
   x = 23,816,822,929/72,789
6. Step 6: Final answer
   x = 327,203.60