Finding the Third Proportional to 37,266 and 78,836

Step by Step Solution

1. Step 1: Write the proportion equation
   37,266 : 78,836 = 78,836 : x
2. Step 2: Convert to fraction form
   37,266/78,836 = 78,836/x
3. Step 3: Cross multiply
   37,266x = 78,836 × 78,836
4. Step 4: Simplify right side
   37,266x = 6,215,114,896
5. Step 5: Solve for x
   x = 6,215,114,896/37,266
6. Step 6: Final answer
   x = 166,777.09