Finding the Third Proportional to 188,766 and 410,688

Step by Step Solution

1. Step 1: Write the proportion equation
   188,766 : 410,688 = 410,688 : x
2. Step 2: Convert to fraction form
   188,766/410,688 = 410,688/x
3. Step 3: Cross multiply
   188,766x = 410,688 × 410,688
4. Step 4: Simplify right side
   188,766x = 168,664,633,344
5. Step 5: Solve for x
   x = 168,664,633,344/188,766
6. Step 6: Final answer
   x = 893,511.72