Finding the Third Proportional to 89,614 and 189,836

Step by Step Solution

1. Step 1: Write the proportion equation
   89,614 : 189,836 = 189,836 : x
2. Step 2: Convert to fraction form
   89,614/189,836 = 189,836/x
3. Step 3: Cross multiply
   89,614x = 189,836 × 189,836
4. Step 4: Simplify right side
   89,614x = 36,037,706,896
5. Step 5: Solve for x
   x = 36,037,706,896/89,614
6. Step 6: Final answer
   x = 402,143.72