Finding the Third Proportional to 40,338 and 88,637.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,338 : 88,637.25 = 88,637.25 : x
2. Step 2: Convert to fraction form
   40,338/88,637.25 = 88,637.25/x
3. Step 3: Cross multiply
   40,338x = 88,637.25 × 88,637.25
4. Step 4: Simplify right side
   40,338x = 7,856,562,087.56
5. Step 5: Solve for x
   x = 7,856,562,087.56/40,338
6. Step 6: Final answer
   x = 194,768.26