Finding the Third Proportional to 72,783 and 156,743

Step by Step Solution

1. Step 1: Write the proportion equation
   72,783 : 156,743 = 156,743 : x
2. Step 2: Convert to fraction form
   72,783/156,743 = 156,743/x
3. Step 3: Cross multiply
   72,783x = 156,743 × 156,743
4. Step 4: Simplify right side
   72,783x = 24,568,368,049
5. Step 5: Solve for x
   x = 24,568,368,049/72,783
6. Step 6: Final answer
   x = 337,556.41