Finding the Third Proportional to 85,542 and 187,608

Step by Step Solution

1. Step 1: Write the proportion equation
   85,542 : 187,608 = 187,608 : x
2. Step 2: Convert to fraction form
   85,542/187,608 = 187,608/x
3. Step 3: Cross multiply
   85,542x = 187,608 × 187,608
4. Step 4: Simplify right side
   85,542x = 35,196,761,664
5. Step 5: Solve for x
   x = 35,196,761,664/85,542
6. Step 6: Final answer
   x = 411,455.91