Finding the Third Proportional to 188,514 and 410,346

Step by Step Solution

1. Step 1: Write the proportion equation
   188,514 : 410,346 = 410,346 : x
2. Step 2: Convert to fraction form
   188,514/410,346 = 410,346/x
3. Step 3: Cross multiply
   188,514x = 410,346 × 410,346
4. Step 4: Simplify right side
   188,514x = 168,383,839,716
5. Step 5: Solve for x
   x = 168,383,839,716/188,514
6. Step 6: Final answer
   x = 893,216.63