Finding the Third Proportional to 41,816.13 and 89,696.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,816.13 : 89,696.25 = 89,696.25 : x
2. Step 2: Convert to fraction form
   41,816.13/89,696.25 = 89,696.25/x
3. Step 3: Cross multiply
   41,816.13x = 89,696.25 × 89,696.25
4. Step 4: Simplify right side
   41,816.13x = 8,045,417,264.06
5. Step 5: Solve for x
   x = 8,045,417,264.06/41,816.13
6. Step 6: Final answer
   x = 192,399.88