Finding the Third Proportional to 39,268 and 85,870

Step by Step Solution

1. Step 1: Write the proportion equation
   39,268 : 85,870 = 85,870 : x
2. Step 2: Convert to fraction form
   39,268/85,870 = 85,870/x
3. Step 3: Cross multiply
   39,268x = 85,870 × 85,870
4. Step 4: Simplify right side
   39,268x = 7,373,656,900
5. Step 5: Solve for x
   x = 7,373,656,900/39,268
6. Step 6: Final answer
   x = 187,777.76