Finding the Third Proportional to 41,401 and 88,634

Step by Step Solution

1. Step 1: Write the proportion equation
   41,401 : 88,634 = 88,634 : x
2. Step 2: Convert to fraction form
   41,401/88,634 = 88,634/x
3. Step 3: Cross multiply
   41,401x = 88,634 × 88,634
4. Step 4: Simplify right side
   41,401x = 7,855,985,956
5. Step 5: Solve for x
   x = 7,855,985,956/41,401
6. Step 6: Final answer
   x = 189,753.53