Finding the Third Proportional to 54,136 and 116,888

Step by Step Solution

1. Step 1: Write the proportion equation
   54,136 : 116,888 = 116,888 : x
2. Step 2: Convert to fraction form
   54,136/116,888 = 116,888/x
3. Step 3: Cross multiply
   54,136x = 116,888 × 116,888
4. Step 4: Simplify right side
   54,136x = 13,662,804,544
5. Step 5: Solve for x
   x = 13,662,804,544/54,136
6. Step 6: Final answer
   x = 252,379.28