Finding the Third Proportional to 82,238 and 176,136

Step by Step Solution

1. Step 1: Write the proportion equation
   82,238 : 176,136 = 176,136 : x
2. Step 2: Convert to fraction form
   82,238/176,136 = 176,136/x
3. Step 3: Cross multiply
   82,238x = 176,136 × 176,136
4. Step 4: Simplify right side
   82,238x = 31,023,890,496
5. Step 5: Solve for x
   x = 31,023,890,496/82,238
6. Step 6: Final answer
   x = 377,245.20