Finding the Third Proportional to 43,877 and 85,540

Step by Step Solution

1. Step 1: Write the proportion equation
   43,877 : 85,540 = 85,540 : x
2. Step 2: Convert to fraction form
   43,877/85,540 = 85,540/x
3. Step 3: Cross multiply
   43,877x = 85,540 × 85,540
4. Step 4: Simplify right side
   43,877x = 7,317,091,600
5. Step 5: Solve for x
   x = 7,317,091,600/43,877
6. Step 6: Final answer
   x = 166,763.72