Finding the Third Proportional to 41,146 and 88,688

Step by Step Solution

1. Step 1: Write the proportion equation
   41,146 : 88,688 = 88,688 : x
2. Step 2: Convert to fraction form
   41,146/88,688 = 88,688/x
3. Step 3: Cross multiply
   41,146x = 88,688 × 88,688
4. Step 4: Simplify right side
   41,146x = 7,865,561,344
5. Step 5: Solve for x
   x = 7,865,561,344/41,146
6. Step 6: Final answer
   x = 191,162.24