Finding the Third Proportional to 40,384 and 88,464

Step by Step Solution

1. Step 1: Write the proportion equation
   40,384 : 88,464 = 88,464 : x
2. Step 2: Convert to fraction form
   40,384/88,464 = 88,464/x
3. Step 3: Cross multiply
   40,384x = 88,464 × 88,464
4. Step 4: Simplify right side
   40,384x = 7,825,879,296
5. Step 5: Solve for x
   x = 7,825,879,296/40,384
6. Step 6: Final answer
   x = 193,786.63