Finding the Third Proportional to 89,241 and 194,034

Step by Step Solution

1. Step 1: Write the proportion equation
   89,241 : 194,034 = 194,034 : x
2. Step 2: Convert to fraction form
   89,241/194,034 = 194,034/x
3. Step 3: Cross multiply
   89,241x = 194,034 × 194,034
4. Step 4: Simplify right side
   89,241x = 37,649,193,156
5. Step 5: Solve for x
   x = 37,649,193,156/89,241
6. Step 6: Final answer
   x = 421,882.24