Finding the Third Proportional to 89,892 and 194,742

Step by Step Solution

1. Step 1: Write the proportion equation
   89,892 : 194,742 = 194,742 : x
2. Step 2: Convert to fraction form
   89,892/194,742 = 194,742/x
3. Step 3: Cross multiply
   89,892x = 194,742 × 194,742
4. Step 4: Simplify right side
   89,892x = 37,924,446,564
5. Step 5: Solve for x
   x = 37,924,446,564/89,892
6. Step 6: Final answer
   x = 421,889.01