Finding the Third Proportional to 43,184 and 94,496

Step by Step Solution

1. Step 1: Write the proportion equation
   43,184 : 94,496 = 94,496 : x
2. Step 2: Convert to fraction form
   43,184/94,496 = 94,496/x
3. Step 3: Cross multiply
   43,184x = 94,496 × 94,496
4. Step 4: Simplify right side
   43,184x = 8,929,494,016
5. Step 5: Solve for x
   x = 8,929,494,016/43,184
6. Step 6: Final answer
   x = 206,777.83