Finding the Third Proportional to 194,456.25 and 422,109

Step by Step Solution

1. Step 1: Write the proportion equation
   194,456.25 : 422,109 = 422,109 : x
2. Step 2: Convert to fraction form
   194,456.25/422,109 = 422,109/x
3. Step 3: Cross multiply
   194,456.25x = 422,109 × 422,109
4. Step 4: Simplify right side
   194,456.25x = 178,176,007,881
5. Step 5: Solve for x
   x = 178,176,007,881/194,456.25
6. Step 6: Final answer
   x = 916,278.12