Finding the Third Proportional to 53,216 and 80,216

Step by Step Solution

1. Step 1: Write the proportion equation
   53,216 : 80,216 = 80,216 : x
2. Step 2: Convert to fraction form
   53,216/80,216 = 80,216/x
3. Step 3: Cross multiply
   53,216x = 80,216 × 80,216
4. Step 4: Simplify right side
   53,216x = 6,434,606,656
5. Step 5: Solve for x
   x = 6,434,606,656/53,216
6. Step 6: Final answer
   x = 120,914.89