Finding the Third Proportional to 91,586 and 144,755

Step by Step Solution

1. Step 1: Write the proportion equation
   91,586 : 144,755 = 144,755 : x
2. Step 2: Convert to fraction form
   91,586/144,755 = 144,755/x
3. Step 3: Cross multiply
   91,586x = 144,755 × 144,755
4. Step 4: Simplify right side
   91,586x = 20,954,010,025
5. Step 5: Solve for x
   x = 20,954,010,025/91,586
6. Step 6: Final answer
   x = 228,790.54