Finding the Third Proportional to 80,462 and 112,544

Step by Step Solution

1. Step 1: Write the proportion equation
   80,462 : 112,544 = 112,544 : x
2. Step 2: Convert to fraction form
   80,462/112,544 = 112,544/x
3. Step 3: Cross multiply
   80,462x = 112,544 × 112,544
4. Step 4: Simplify right side
   80,462x = 12,666,151,936
5. Step 5: Solve for x
   x = 12,666,151,936/80,462
6. Step 6: Final answer
   x = 157,417.81