Finding the Third Proportional to 53,344 and 116,288

Step by Step Solution

1. Step 1: Write the proportion equation
   53,344 : 116,288 = 116,288 : x
2. Step 2: Convert to fraction form
   53,344/116,288 = 116,288/x
3. Step 3: Cross multiply
   53,344x = 116,288 × 116,288
4. Step 4: Simplify right side
   53,344x = 13,522,898,944
5. Step 5: Solve for x
   x = 13,522,898,944/53,344
6. Step 6: Final answer
   x = 253,503.65