Finding the Third Proportional to 42,768 and 87,216

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 87,216 = 87,216 : x
2. Step 2: Convert to fraction form
   42,768/87,216 = 87,216/x
3. Step 3: Cross multiply
   42,768x = 87,216 × 87,216
4. Step 4: Simplify right side
   42,768x = 7,606,630,656
5. Step 5: Solve for x
   x = 7,606,630,656/42,768
6. Step 6: Final answer
   x = 177,857.99