Finding the Third Proportional to 300,192 and 422,208

Step by Step Solution

1. Step 1: Write the proportion equation
   300,192 : 422,208 = 422,208 : x
2. Step 2: Convert to fraction form
   300,192/422,208 = 422,208/x
3. Step 3: Cross multiply
   300,192x = 422,208 × 422,208
4. Step 4: Simplify right side
   300,192x = 178,259,595,264
5. Step 5: Solve for x
   x = 178,259,595,264/300,192
6. Step 6: Final answer
   x = 593,818.61