Finding the Third Proportional to 41,784.50 and 89,401

Step by Step Solution

1. Step 1: Write the proportion equation
   41,784.50 : 89,401 = 89,401 : x
2. Step 2: Convert to fraction form
   41,784.50/89,401 = 89,401/x
3. Step 3: Cross multiply
   41,784.50x = 89,401 × 89,401
4. Step 4: Simplify right side
   41,784.50x = 7,992,538,801
5. Step 5: Solve for x
   x = 7,992,538,801/41,784.50
6. Step 6: Final answer
   x = 191,279.99