Finding the Third Proportional to 55,422 and 114,786

Step by Step Solution

1. Step 1: Write the proportion equation
   55,422 : 114,786 = 114,786 : x
2. Step 2: Convert to fraction form
   55,422/114,786 = 114,786/x
3. Step 3: Cross multiply
   55,422x = 114,786 × 114,786
4. Step 4: Simplify right side
   55,422x = 13,175,825,796
5. Step 5: Solve for x
   x = 13,175,825,796/55,422
6. Step 6: Final answer
   x = 237,736.38