Finding the Third Proportional to 81,767 and 123,056

Step by Step Solution

1. Step 1: Write the proportion equation
   81,767 : 123,056 = 123,056 : x
2. Step 2: Convert to fraction form
   81,767/123,056 = 123,056/x
3. Step 3: Cross multiply
   81,767x = 123,056 × 123,056
4. Step 4: Simplify right side
   81,767x = 15,142,779,136
5. Step 5: Solve for x
   x = 15,142,779,136/81,767
6. Step 6: Final answer
   x = 185,194.26