Finding the Third Proportional to 88,022 and 189,733

Step by Step Solution

1. Step 1: Write the proportion equation
   88,022 : 189,733 = 189,733 : x
2. Step 2: Convert to fraction form
   88,022/189,733 = 189,733/x
3. Step 3: Cross multiply
   88,022x = 189,733 × 189,733
4. Step 4: Simplify right side
   88,022x = 35,998,611,289
5. Step 5: Solve for x
   x = 35,998,611,289/88,022
6. Step 6: Final answer
   x = 408,972.89