Finding the Third Proportional to 123,012 and 157,186

Step by Step Solution

1. Step 1: Write the proportion equation
   123,012 : 157,186 = 157,186 : x
2. Step 2: Convert to fraction form
   123,012/157,186 = 157,186/x
3. Step 3: Cross multiply
   123,012x = 157,186 × 157,186
4. Step 4: Simplify right side
   123,012x = 24,707,438,596
5. Step 5: Solve for x
   x = 24,707,438,596/123,012
6. Step 6: Final answer
   x = 200,853.89