Finding the Third Proportional to 53,596 and 116,716

Step by Step Solution

1. Step 1: Write the proportion equation
   53,596 : 116,716 = 116,716 : x
2. Step 2: Convert to fraction form
   53,596/116,716 = 116,716/x
3. Step 3: Cross multiply
   53,596x = 116,716 × 116,716
4. Step 4: Simplify right side
   53,596x = 13,622,624,656
5. Step 5: Solve for x
   x = 13,622,624,656/53,596
6. Step 6: Final answer
   x = 254,172.41