Finding the Third Proportional to 55,696 and 116,000

Step by Step Solution

1. Step 1: Write the proportion equation
   55,696 : 116,000 = 116,000 : x
2. Step 2: Convert to fraction form
   55,696/116,000 = 116,000/x
3. Step 3: Cross multiply
   55,696x = 116,000 × 116,000
4. Step 4: Simplify right side
   55,696x = 13,456,000,000
5. Step 5: Solve for x
   x = 13,456,000,000/55,696
6. Step 6: Final answer
   x = 241,597.24