Finding the Third Proportional to 86,688 and 189,504

Step by Step Solution

1. Step 1: Write the proportion equation
   86,688 : 189,504 = 189,504 : x
2. Step 2: Convert to fraction form
   86,688/189,504 = 189,504/x
3. Step 3: Cross multiply
   86,688x = 189,504 × 189,504
4. Step 4: Simplify right side
   86,688x = 35,911,766,016
5. Step 5: Solve for x
   x = 35,911,766,016/86,688
6. Step 6: Final answer
   x = 414,264.56