Finding the Third Proportional to 96,395 and 144,025

Step by Step Solution

1. Step 1: Write the proportion equation
   96,395 : 144,025 = 144,025 : x
2. Step 2: Convert to fraction form
   96,395/144,025 = 144,025/x
3. Step 3: Cross multiply
   96,395x = 144,025 × 144,025
4. Step 4: Simplify right side
   96,395x = 20,743,200,625
5. Step 5: Solve for x
   x = 20,743,200,625/96,395
6. Step 6: Final answer
   x = 215,189.59