Finding the Third Proportional to 40,434 and 85,056

Step by Step Solution

1. Step 1: Write the proportion equation
   40,434 : 85,056 = 85,056 : x
2. Step 2: Convert to fraction form
   40,434/85,056 = 85,056/x
3. Step 3: Cross multiply
   40,434x = 85,056 × 85,056
4. Step 4: Simplify right side
   40,434x = 7,234,523,136
5. Step 5: Solve for x
   x = 7,234,523,136/40,434
6. Step 6: Final answer
   x = 178,921.78