Finding the Third Proportional to 82,802 and 178,719

Step by Step Solution

1. Step 1: Write the proportion equation
   82,802 : 178,719 = 178,719 : x
2. Step 2: Convert to fraction form
   82,802/178,719 = 178,719/x
3. Step 3: Cross multiply
   82,802x = 178,719 × 178,719
4. Step 4: Simplify right side
   82,802x = 31,940,480,961
5. Step 5: Solve for x
   x = 31,940,480,961/82,802
6. Step 6: Final answer
   x = 385,745.28