Finding the Third Proportional to 81,915 and 123,143

Step by Step Solution

1. Step 1: Write the proportion equation
   81,915 : 123,143 = 123,143 : x
2. Step 2: Convert to fraction form
   81,915/123,143 = 123,143/x
3. Step 3: Cross multiply
   81,915x = 123,143 × 123,143
4. Step 4: Simplify right side
   81,915x = 15,164,198,449
5. Step 5: Solve for x
   x = 15,164,198,449/81,915
6. Step 6: Final answer
   x = 185,121.14