Finding the Third Proportional to 88,354 and 189,892

Step by Step Solution

1. Step 1: Write the proportion equation
   88,354 : 189,892 = 189,892 : x
2. Step 2: Convert to fraction form
   88,354/189,892 = 189,892/x
3. Step 3: Cross multiply
   88,354x = 189,892 × 189,892
4. Step 4: Simplify right side
   88,354x = 36,058,971,664
5. Step 5: Solve for x
   x = 36,058,971,664/88,354
6. Step 6: Final answer
   x = 408,119.29