Finding the Third Proportional to 41,145 and 88,523

Step by Step Solution

1. Step 1: Write the proportion equation
   41,145 : 88,523 = 88,523 : x
2. Step 2: Convert to fraction form
   41,145/88,523 = 88,523/x
3. Step 3: Cross multiply
   41,145x = 88,523 × 88,523
4. Step 4: Simplify right side
   41,145x = 7,836,321,529
5. Step 5: Solve for x
   x = 7,836,321,529/41,145
6. Step 6: Final answer
   x = 190,456.23