Finding the Third Proportional to 89,688 and 188,671

Step by Step Solution

1. Step 1: Write the proportion equation
   89,688 : 188,671 = 188,671 : x
2. Step 2: Convert to fraction form
   89,688/188,671 = 188,671/x
3. Step 3: Cross multiply
   89,688x = 188,671 × 188,671
4. Step 4: Simplify right side
   89,688x = 35,596,746,241
5. Step 5: Solve for x
   x = 35,596,746,241/89,688
6. Step 6: Final answer
   x = 396,895.31