Finding the Third Proportional to 194,496 and 422,222

Step by Step Solution

1. Step 1: Write the proportion equation
   194,496 : 422,222 = 422,222 : x
2. Step 2: Convert to fraction form
   194,496/422,222 = 422,222/x
3. Step 3: Cross multiply
   194,496x = 422,222 × 422,222
4. Step 4: Simplify right side
   194,496x = 178,271,417,284
5. Step 5: Solve for x
   x = 178,271,417,284/194,496
6. Step 6: Final answer
   x = 916,581.41