Finding the Third Proportional to 85,848 and 187,824

Step by Step Solution

1. Step 1: Write the proportion equation
   85,848 : 187,824 = 187,824 : x
2. Step 2: Convert to fraction form
   85,848/187,824 = 187,824/x
3. Step 3: Cross multiply
   85,848x = 187,824 × 187,824
4. Step 4: Simplify right side
   85,848x = 35,277,854,976
5. Step 5: Solve for x
   x = 35,277,854,976/85,848
6. Step 6: Final answer
   x = 410,933.92