Finding the Third Proportional to 81,794 and 123,098

Step by Step Solution

1. Step 1: Write the proportion equation
   81,794 : 123,098 = 123,098 : x
2. Step 2: Convert to fraction form
   81,794/123,098 = 123,098/x
3. Step 3: Cross multiply
   81,794x = 123,098 × 123,098
4. Step 4: Simplify right side
   81,794x = 15,153,117,604
5. Step 5: Solve for x
   x = 15,153,117,604/81,794
6. Step 6: Final answer
   x = 185,259.53