Finding the Third Proportional to 40,256.50 and 94,722.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,256.50 : 94,722.25 = 94,722.25 : x
2. Step 2: Convert to fraction form
   40,256.50/94,722.25 = 94,722.25/x
3. Step 3: Cross multiply
   40,256.50x = 94,722.25 × 94,722.25
4. Step 4: Simplify right side
   40,256.50x = 8,972,304,645.06
5. Step 5: Solve for x
   x = 8,972,304,645.06/40,256.50
6. Step 6: Final answer
   x = 222,878.41