Finding the Third Proportional to 85,860 and 187,983

Step by Step Solution

1. Step 1: Write the proportion equation
   85,860 : 187,983 = 187,983 : x
2. Step 2: Convert to fraction form
   85,860/187,983 = 187,983/x
3. Step 3: Cross multiply
   85,860x = 187,983 × 187,983
4. Step 4: Simplify right side
   85,860x = 35,337,608,289
5. Step 5: Solve for x
   x = 35,337,608,289/85,860
6. Step 6: Final answer
   x = 411,572.42