Finding the Third Proportional to 188,799 and 410,468

Step by Step Solution

1. Step 1: Write the proportion equation
   188,799 : 410,468 = 410,468 : x
2. Step 2: Convert to fraction form
   188,799/410,468 = 410,468/x
3. Step 3: Cross multiply
   188,799x = 410,468 × 410,468
4. Step 4: Simplify right side
   188,799x = 168,483,979,024
5. Step 5: Solve for x
   x = 168,483,979,024/188,799
6. Step 6: Final answer
   x = 892,398.68