Finding the Third Proportional to 89,241.50 and 194,035

Step by Step Solution

1. Step 1: Write the proportion equation
   89,241.50 : 194,035 = 194,035 : x
2. Step 2: Convert to fraction form
   89,241.50/194,035 = 194,035/x
3. Step 3: Cross multiply
   89,241.50x = 194,035 × 194,035
4. Step 4: Simplify right side
   89,241.50x = 37,649,581,225
5. Step 5: Solve for x
   x = 37,649,581,225/89,241.50
6. Step 6: Final answer
   x = 421,884.23