Finding the Third Proportional to 89,192 and 194,378

Step by Step Solution

1. Step 1: Write the proportion equation
   89,192 : 194,378 = 194,378 : x
2. Step 2: Convert to fraction form
   89,192/194,378 = 194,378/x
3. Step 3: Cross multiply
   89,192x = 194,378 × 194,378
4. Step 4: Simplify right side
   89,192x = 37,782,806,884
5. Step 5: Solve for x
   x = 37,782,806,884/89,192
6. Step 6: Final answer
   x = 423,612.06