Finding the Third Proportional to 80,238 and 112,168

Step by Step Solution

1. Step 1: Write the proportion equation
   80,238 : 112,168 = 112,168 : x
2. Step 2: Convert to fraction form
   80,238/112,168 = 112,168/x
3. Step 3: Cross multiply
   80,238x = 112,168 × 112,168
4. Step 4: Simplify right side
   80,238x = 12,581,660,224
5. Step 5: Solve for x
   x = 12,581,660,224/80,238
6. Step 6: Final answer
   x = 156,804.26