Finding the Third Proportional to 40,688 and 87,856

Step by Step Solution

1. Step 1: Write the proportion equation
   40,688 : 87,856 = 87,856 : x
2. Step 2: Convert to fraction form
   40,688/87,856 = 87,856/x
3. Step 3: Cross multiply
   40,688x = 87,856 × 87,856
4. Step 4: Simplify right side
   40,688x = 7,718,676,736
5. Step 5: Solve for x
   x = 7,718,676,736/40,688
6. Step 6: Final answer
   x = 189,704.01