Finding the Third Proportional to 80,141 and 113,911

Step by Step Solution

1. Step 1: Write the proportion equation
   80,141 : 113,911 = 113,911 : x
2. Step 2: Convert to fraction form
   80,141/113,911 = 113,911/x
3. Step 3: Cross multiply
   80,141x = 113,911 × 113,911
4. Step 4: Simplify right side
   80,141x = 12,975,715,921
5. Step 5: Solve for x
   x = 12,975,715,921/80,141
6. Step 6: Final answer
   x = 161,911.08