Finding the Third Proportional to 62,401 and 89,234

Step by Step Solution

1. Step 1: Write the proportion equation
   62,401 : 89,234 = 89,234 : x
2. Step 2: Convert to fraction form
   62,401/89,234 = 89,234/x
3. Step 3: Cross multiply
   62,401x = 89,234 × 89,234
4. Step 4: Simplify right side
   62,401x = 7,962,706,756
5. Step 5: Solve for x
   x = 7,962,706,756/62,401
6. Step 6: Final answer
   x = 127,605.44