Finding the Third Proportional to 89,847 and 194,647

Step by Step Solution

1. Step 1: Write the proportion equation
   89,847 : 194,647 = 194,647 : x
2. Step 2: Convert to fraction form
   89,847/194,647 = 194,647/x
3. Step 3: Cross multiply
   89,847x = 194,647 × 194,647
4. Step 4: Simplify right side
   89,847x = 37,887,454,609
5. Step 5: Solve for x
   x = 37,887,454,609/89,847
6. Step 6: Final answer
   x = 421,688.59