Finding the Third Proportional to 54,784 and 87,096

Step by Step Solution

1. Step 1: Write the proportion equation
   54,784 : 87,096 = 87,096 : x
2. Step 2: Convert to fraction form
   54,784/87,096 = 87,096/x
3. Step 3: Cross multiply
   54,784x = 87,096 × 87,096
4. Step 4: Simplify right side
   54,784x = 7,585,713,216
5. Step 5: Solve for x
   x = 7,585,713,216/54,784
6. Step 6: Final answer
   x = 138,465.85