Finding the Third Proportional to 72,768 and 159,061

Step by Step Solution

1. Step 1: Write the proportion equation
   72,768 : 159,061 = 159,061 : x
2. Step 2: Convert to fraction form
   72,768/159,061 = 159,061/x
3. Step 3: Cross multiply
   72,768x = 159,061 × 159,061
4. Step 4: Simplify right side
   72,768x = 25,300,401,721
5. Step 5: Solve for x
   x = 25,300,401,721/72,768
6. Step 6: Final answer
   x = 347,685.82