Finding the Third Proportional to 85,995 and 187,608

Step by Step Solution

1. Step 1: Write the proportion equation
   85,995 : 187,608 = 187,608 : x
2. Step 2: Convert to fraction form
   85,995/187,608 = 187,608/x
3. Step 3: Cross multiply
   85,995x = 187,608 × 187,608
4. Step 4: Simplify right side
   85,995x = 35,196,761,664
5. Step 5: Solve for x
   x = 35,196,761,664/85,995
6. Step 6: Final answer
   x = 409,288.47