Finding the Third Proportional to 53,559 and 116,336

Step by Step Solution

1. Step 1: Write the proportion equation
   53,559 : 116,336 = 116,336 : x
2. Step 2: Convert to fraction form
   53,559/116,336 = 116,336/x
3. Step 3: Cross multiply
   53,559x = 116,336 × 116,336
4. Step 4: Simplify right side
   53,559x = 13,534,064,896
5. Step 5: Solve for x
   x = 13,534,064,896/53,559
6. Step 6: Final answer
   x = 252,694.50