Finding the Third Proportional to 72,996 and 157,384

Step by Step Solution

1. Step 1: Write the proportion equation
   72,996 : 157,384 = 157,384 : x
2. Step 2: Convert to fraction form
   72,996/157,384 = 157,384/x
3. Step 3: Cross multiply
   72,996x = 157,384 × 157,384
4. Step 4: Simplify right side
   72,996x = 24,769,723,456
5. Step 5: Solve for x
   x = 24,769,723,456/72,996
6. Step 6: Final answer
   x = 339,329.87