Finding the Third Proportional to 55,143 and 116,786

Step by Step Solution

1. Step 1: Write the proportion equation
   55,143 : 116,786 = 116,786 : x
2. Step 2: Convert to fraction form
   55,143/116,786 = 116,786/x
3. Step 3: Cross multiply
   55,143x = 116,786 × 116,786
4. Step 4: Simplify right side
   55,143x = 13,638,969,796
5. Step 5: Solve for x
   x = 13,638,969,796/55,143
6. Step 6: Final answer
   x = 247,338.19