Finding the Third Proportional to 89,742 and 188,775

Step by Step Solution

1. Step 1: Write the proportion equation
   89,742 : 188,775 = 188,775 : x
2. Step 2: Convert to fraction form
   89,742/188,775 = 188,775/x
3. Step 3: Cross multiply
   89,742x = 188,775 × 188,775
4. Step 4: Simplify right side
   89,742x = 35,636,000,625
5. Step 5: Solve for x
   x = 35,636,000,625/89,742
6. Step 6: Final answer
   x = 397,093.90