Finding the Third Proportional to 81,953 and 123,683

Step by Step Solution

1. Step 1: Write the proportion equation
   81,953 : 123,683 = 123,683 : x
2. Step 2: Convert to fraction form
   81,953/123,683 = 123,683/x
3. Step 3: Cross multiply
   81,953x = 123,683 × 123,683
4. Step 4: Simplify right side
   81,953x = 15,297,484,489
5. Step 5: Solve for x
   x = 15,297,484,489/81,953
6. Step 6: Final answer
   x = 186,661.68