Finding the Third Proportional to 89,936 and 194,279

Step by Step Solution

1. Step 1: Write the proportion equation
   89,936 : 194,279 = 194,279 : x
2. Step 2: Convert to fraction form
   89,936/194,279 = 194,279/x
3. Step 3: Cross multiply
   89,936x = 194,279 × 194,279
4. Step 4: Simplify right side
   89,936x = 37,744,329,841
5. Step 5: Solve for x
   x = 37,744,329,841/89,936
6. Step 6: Final answer
   x = 419,679.88