Finding the Third Proportional to 188,838 and 410,876

Step by Step Solution

1. Step 1: Write the proportion equation
   188,838 : 410,876 = 410,876 : x
2. Step 2: Convert to fraction form
   188,838/410,876 = 410,876/x
3. Step 3: Cross multiply
   188,838x = 410,876 × 410,876
4. Step 4: Simplify right side
   188,838x = 168,819,087,376
5. Step 5: Solve for x
   x = 168,819,087,376/188,838
6. Step 6: Final answer
   x = 893,988.96