Finding the Third Proportional to 40,076 and 86,056

Step by Step Solution

1. Step 1: Write the proportion equation
   40,076 : 86,056 = 86,056 : x
2. Step 2: Convert to fraction form
   40,076/86,056 = 86,056/x
3. Step 3: Cross multiply
   40,076x = 86,056 × 86,056
4. Step 4: Simplify right side
   40,076x = 7,405,635,136
5. Step 5: Solve for x
   x = 7,405,635,136/40,076
6. Step 6: Final answer
   x = 184,789.78