Finding the Third Proportional to 53,216 and 116,800

Step by Step Solution

1. Step 1: Write the proportion equation
   53,216 : 116,800 = 116,800 : x
2. Step 2: Convert to fraction form
   53,216/116,800 = 116,800/x
3. Step 3: Cross multiply
   53,216x = 116,800 × 116,800
4. Step 4: Simplify right side
   53,216x = 13,642,240,000
5. Step 5: Solve for x
   x = 13,642,240,000/53,216
6. Step 6: Final answer
   x = 256,355.98