Finding the Third Proportional to 80,636 and 112,783

Step by Step Solution

1. Step 1: Write the proportion equation
   80,636 : 112,783 = 112,783 : x
2. Step 2: Convert to fraction form
   80,636/112,783 = 112,783/x
3. Step 3: Cross multiply
   80,636x = 112,783 × 112,783
4. Step 4: Simplify right side
   80,636x = 12,720,005,089
5. Step 5: Solve for x
   x = 12,720,005,089/80,636
6. Step 6: Final answer
   x = 157,745.98