Finding the Third Proportional to 40,192 and 84,056

Step by Step Solution

1. Step 1: Write the proportion equation
   40,192 : 84,056 = 84,056 : x
2. Step 2: Convert to fraction form
   40,192/84,056 = 84,056/x
3. Step 3: Cross multiply
   40,192x = 84,056 × 84,056
4. Step 4: Simplify right side
   40,192x = 7,065,411,136
5. Step 5: Solve for x
   x = 7,065,411,136/40,192
6. Step 6: Final answer
   x = 175,791.48