Finding the Third Proportional to 40,454 and 88,684

Step by Step Solution

1. Step 1: Write the proportion equation
   40,454 : 88,684 = 88,684 : x
2. Step 2: Convert to fraction form
   40,454/88,684 = 88,684/x
3. Step 3: Cross multiply
   40,454x = 88,684 × 88,684
4. Step 4: Simplify right side
   40,454x = 7,864,851,856
5. Step 5: Solve for x
   x = 7,864,851,856/40,454
6. Step 6: Final answer
   x = 194,414.69