Finding the Third Proportional to 85,665 and 187,990

Step by Step Solution

1. Step 1: Write the proportion equation
   85,665 : 187,990 = 187,990 : x
2. Step 2: Convert to fraction form
   85,665/187,990 = 187,990/x
3. Step 3: Cross multiply
   85,665x = 187,990 × 187,990
4. Step 4: Simplify right side
   85,665x = 35,340,240,100
5. Step 5: Solve for x
   x = 35,340,240,100/85,665
6. Step 6: Final answer
   x = 412,540.01