Finding the Third Proportional to 86,664 and 188,160

Step by Step Solution

1. Step 1: Write the proportion equation
   86,664 : 188,160 = 188,160 : x
2. Step 2: Convert to fraction form
   86,664/188,160 = 188,160/x
3. Step 3: Cross multiply
   86,664x = 188,160 × 188,160
4. Step 4: Simplify right side
   86,664x = 35,404,185,600
5. Step 5: Solve for x
   x = 35,404,185,600/86,664
6. Step 6: Final answer
   x = 408,522.40