Finding the Third Proportional to 55,685 and 116,838

Step by Step Solution

1. Step 1: Write the proportion equation
   55,685 : 116,838 = 116,838 : x
2. Step 2: Convert to fraction form
   55,685/116,838 = 116,838/x
3. Step 3: Cross multiply
   55,685x = 116,838 × 116,838
4. Step 4: Simplify right side
   55,685x = 13,651,118,244
5. Step 5: Solve for x
   x = 13,651,118,244/55,685
6. Step 6: Final answer
   x = 245,148.93