Finding the Third Proportional to 188,598 and 410,892

Step by Step Solution

1. Step 1: Write the proportion equation
   188,598 : 410,892 = 410,892 : x
2. Step 2: Convert to fraction form
   188,598/410,892 = 410,892/x
3. Step 3: Cross multiply
   188,598x = 410,892 × 410,892
4. Step 4: Simplify right side
   188,598x = 168,832,235,664
5. Step 5: Solve for x
   x = 168,832,235,664/188,598
6. Step 6: Final answer
   x = 895,196.32