Finding the Third Proportional to 81,782 and 123,083

Step by Step Solution

1. Step 1: Write the proportion equation
   81,782 : 123,083 = 123,083 : x
2. Step 2: Convert to fraction form
   81,782/123,083 = 123,083/x
3. Step 3: Cross multiply
   81,782x = 123,083 × 123,083
4. Step 4: Simplify right side
   81,782x = 15,149,424,889
5. Step 5: Solve for x
   x = 15,149,424,889/81,782
6. Step 6: Final answer
   x = 185,241.56