Finding the Third Proportional to 89,401.50 and 203,823

Step by Step Solution

1. Step 1: Write the proportion equation
   89,401.50 : 203,823 = 203,823 : x
2. Step 2: Convert to fraction form
   89,401.50/203,823 = 203,823/x
3. Step 3: Cross multiply
   89,401.50x = 203,823 × 203,823
4. Step 4: Simplify right side
   89,401.50x = 41,543,815,329
5. Step 5: Solve for x
   x = 41,543,815,329/89,401.50
6. Step 6: Final answer
   x = 464,688.12