Finding the Third Proportional to 41,888 and 89,844

Step by Step Solution

1. Step 1: Write the proportion equation
   41,888 : 89,844 = 89,844 : x
2. Step 2: Convert to fraction form
   41,888/89,844 = 89,844/x
3. Step 3: Cross multiply
   41,888x = 89,844 × 89,844
4. Step 4: Simplify right side
   41,888x = 8,071,944,336
5. Step 5: Solve for x
   x = 8,071,944,336/41,888
6. Step 6: Final answer
   x = 192,703.03