Finding the Third Proportional to 89,743 and 194,346

Step by Step Solution

1. Step 1: Write the proportion equation
   89,743 : 194,346 = 194,346 : x
2. Step 2: Convert to fraction form
   89,743/194,346 = 194,346/x
3. Step 3: Cross multiply
   89,743x = 194,346 × 194,346
4. Step 4: Simplify right side
   89,743x = 37,770,367,716
5. Step 5: Solve for x
   x = 37,770,367,716/89,743
6. Step 6: Final answer
   x = 420,872.58