Finding the Third Proportional to 72,783 and 159,099

Step by Step Solution

1. Step 1: Write the proportion equation
   72,783 : 159,099 = 159,099 : x
2. Step 2: Convert to fraction form
   72,783/159,099 = 159,099/x
3. Step 3: Cross multiply
   72,783x = 159,099 × 159,099
4. Step 4: Simplify right side
   72,783x = 25,312,491,801
5. Step 5: Solve for x
   x = 25,312,491,801/72,783
6. Step 6: Final answer
   x = 347,780.28