Finding the Third Proportional to 85,628 and 113,618

Step by Step Solution

1. Step 1: Write the proportion equation
   85,628 : 113,618 = 113,618 : x
2. Step 2: Convert to fraction form
   85,628/113,618 = 113,618/x
3. Step 3: Cross multiply
   85,628x = 113,618 × 113,618
4. Step 4: Simplify right side
   85,628x = 12,909,049,924
5. Step 5: Solve for x
   x = 12,909,049,924/85,628
6. Step 6: Final answer
   x = 150,757.34