Finding the Third Proportional to 41,174 and 86,654

Step by Step Solution

1. Step 1: Write the proportion equation
   41,174 : 86,654 = 86,654 : x
2. Step 2: Convert to fraction form
   41,174/86,654 = 86,654/x
3. Step 3: Cross multiply
   41,174x = 86,654 × 86,654
4. Step 4: Simplify right side
   41,174x = 7,508,915,716
5. Step 5: Solve for x
   x = 7,508,915,716/41,174
6. Step 6: Final answer
   x = 182,370.32