Finding the Third Proportional to 55,626 and 114,942

Step by Step Solution

1. Step 1: Write the proportion equation
   55,626 : 114,942 = 114,942 : x
2. Step 2: Convert to fraction form
   55,626/114,942 = 114,942/x
3. Step 3: Cross multiply
   55,626x = 114,942 × 114,942
4. Step 4: Simplify right side
   55,626x = 13,211,663,364
5. Step 5: Solve for x
   x = 13,211,663,364/55,626
6. Step 6: Final answer
   x = 237,508.78