Finding the Third Proportional to 195,936 and 293,144

Step by Step Solution

1. Step 1: Write the proportion equation
   195,936 : 293,144 = 293,144 : x
2. Step 2: Convert to fraction form
   195,936/293,144 = 293,144/x
3. Step 3: Cross multiply
   195,936x = 293,144 × 293,144
4. Step 4: Simplify right side
   195,936x = 85,933,404,736
5. Step 5: Solve for x
   x = 85,933,404,736/195,936
6. Step 6: Final answer
   x = 438,578.95