Finding the Third Proportional to 86,724 and 189,164

Step by Step Solution

1. Step 1: Write the proportion equation
   86,724 : 189,164 = 189,164 : x
2. Step 2: Convert to fraction form
   86,724/189,164 = 189,164/x
3. Step 3: Cross multiply
   86,724x = 189,164 × 189,164
4. Step 4: Simplify right side
   86,724x = 35,783,018,896
5. Step 5: Solve for x
   x = 35,783,018,896/86,724
6. Step 6: Final answer
   x = 412,608.03