Finding the Third Proportional to 82,856 and 178,992

Step by Step Solution

1. Step 1: Write the proportion equation
   82,856 : 178,992 = 178,992 : x
2. Step 2: Convert to fraction form
   82,856/178,992 = 178,992/x
3. Step 3: Cross multiply
   82,856x = 178,992 × 178,992
4. Step 4: Simplify right side
   82,856x = 32,038,136,064
5. Step 5: Solve for x
   x = 32,038,136,064/82,856
6. Step 6: Final answer
   x = 386,672.49