Finding the Third Proportional to 86,688 and 185,664

Step by Step Solution

1. Step 1: Write the proportion equation
   86,688 : 185,664 = 185,664 : x
2. Step 2: Convert to fraction form
   86,688/185,664 = 185,664/x
3. Step 3: Cross multiply
   86,688x = 185,664 × 185,664
4. Step 4: Simplify right side
   86,688x = 34,471,120,896
5. Step 5: Solve for x
   x = 34,471,120,896/86,688
6. Step 6: Final answer
   x = 397,645.82