Finding the Third Proportional to 55,144 and 116,788

Step by Step Solution

1. Step 1: Write the proportion equation
   55,144 : 116,788 = 116,788 : x
2. Step 2: Convert to fraction form
   55,144/116,788 = 116,788/x
3. Step 3: Cross multiply
   55,144x = 116,788 × 116,788
4. Step 4: Simplify right side
   55,144x = 13,639,436,944
5. Step 5: Solve for x
   x = 13,639,436,944/55,144
6. Step 6: Final answer
   x = 247,342.18