Finding the Third Proportional to 80,191 and 112,111

Step by Step Solution

1. Step 1: Write the proportion equation
   80,191 : 112,111 = 112,111 : x
2. Step 2: Convert to fraction form
   80,191/112,111 = 112,111/x
3. Step 3: Cross multiply
   80,191x = 112,111 × 112,111
4. Step 4: Simplify right side
   80,191x = 12,568,876,321
5. Step 5: Solve for x
   x = 12,568,876,321/80,191
6. Step 6: Final answer
   x = 156,736.75