Finding the Third Proportional to 40,056 and 84,984

Step by Step Solution

1. Step 1: Write the proportion equation
   40,056 : 84,984 = 84,984 : x
2. Step 2: Convert to fraction form
   40,056/84,984 = 84,984/x
3. Step 3: Cross multiply
   40,056x = 84,984 × 84,984
4. Step 4: Simplify right side
   40,056x = 7,222,280,256
5. Step 5: Solve for x
   x = 7,222,280,256/40,056
6. Step 6: Final answer
   x = 180,304.58