Finding the Third Proportional to 37,158 and 80,238

Step by Step Solution

1. Step 1: Write the proportion equation
   37,158 : 80,238 = 80,238 : x
2. Step 2: Convert to fraction form
   37,158/80,238 = 80,238/x
3. Step 3: Cross multiply
   37,158x = 80,238 × 80,238
4. Step 4: Simplify right side
   37,158x = 6,438,136,644
5. Step 5: Solve for x
   x = 6,438,136,644/37,158
6. Step 6: Final answer
   x = 173,263.81