Finding the Third Proportional to 53,852 and 116,896

Step by Step Solution

1. Step 1: Write the proportion equation
   53,852 : 116,896 = 116,896 : x
2. Step 2: Convert to fraction form
   53,852/116,896 = 116,896/x
3. Step 3: Cross multiply
   53,852x = 116,896 × 116,896
4. Step 4: Simplify right side
   53,852x = 13,664,674,816
5. Step 5: Solve for x
   x = 13,664,674,816/53,852
6. Step 6: Final answer
   x = 253,744.98