Finding the Third Proportional to 59,424 and 79,216

Step by Step Solution

1. Step 1: Write the proportion equation
   59,424 : 79,216 = 79,216 : x
2. Step 2: Convert to fraction form
   59,424/79,216 = 79,216/x
3. Step 3: Cross multiply
   59,424x = 79,216 × 79,216
4. Step 4: Simplify right side
   59,424x = 6,275,174,656
5. Step 5: Solve for x
   x = 6,275,174,656/59,424
6. Step 6: Final answer
   x = 105,600.00