Finding the Third Proportional to 85,844 and 114,618

Step by Step Solution

1. Step 1: Write the proportion equation
   85,844 : 114,618 = 114,618 : x
2. Step 2: Convert to fraction form
   85,844/114,618 = 114,618/x
3. Step 3: Cross multiply
   85,844x = 114,618 × 114,618
4. Step 4: Simplify right side
   85,844x = 13,137,285,924
5. Step 5: Solve for x
   x = 13,137,285,924/85,844
6. Step 6: Final answer
   x = 153,036.74