Finding the Third Proportional to 89,328 and 194,208

Step by Step Solution

1. Step 1: Write the proportion equation
   89,328 : 194,208 = 194,208 : x
2. Step 2: Convert to fraction form
   89,328/194,208 = 194,208/x
3. Step 3: Cross multiply
   89,328x = 194,208 × 194,208
4. Step 4: Simplify right side
   89,328x = 37,716,747,264
5. Step 5: Solve for x
   x = 37,716,747,264/89,328
6. Step 6: Final answer
   x = 422,227.60