Finding the Third Proportional to 80,142 and 113,913

Step by Step Solution

1. Step 1: Write the proportion equation
   80,142 : 113,913 = 113,913 : x
2. Step 2: Convert to fraction form
   80,142/113,913 = 113,913/x
3. Step 3: Cross multiply
   80,142x = 113,913 × 113,913
4. Step 4: Simplify right side
   80,142x = 12,976,171,569
5. Step 5: Solve for x
   x = 12,976,171,569/80,142
6. Step 6: Final answer
   x = 161,914.75