Finding the Third Proportional to 41,152 and 85,216

Step by Step Solution

1. Step 1: Write the proportion equation
   41,152 : 85,216 = 85,216 : x
2. Step 2: Convert to fraction form
   41,152/85,216 = 85,216/x
3. Step 3: Cross multiply
   41,152x = 85,216 × 85,216
4. Step 4: Simplify right side
   41,152x = 7,261,766,656
5. Step 5: Solve for x
   x = 7,261,766,656/41,152
6. Step 6: Final answer
   x = 176,462.06