Finding the Third Proportional to 41,458 and 89,468

Step by Step Solution

1. Step 1: Write the proportion equation
   41,458 : 89,468 = 89,468 : x
2. Step 2: Convert to fraction form
   41,458/89,468 = 89,468/x
3. Step 3: Cross multiply
   41,458x = 89,468 × 89,468
4. Step 4: Simplify right side
   41,458x = 8,004,523,024
5. Step 5: Solve for x
   x = 8,004,523,024/41,458
6. Step 6: Final answer
   x = 193,075.47