Finding the Third Proportional to 82,023 and 178,870

Step by Step Solution

1. Step 1: Write the proportion equation
   82,023 : 178,870 = 178,870 : x
2. Step 2: Convert to fraction form
   82,023/178,870 = 178,870/x
3. Step 3: Cross multiply
   82,023x = 178,870 × 178,870
4. Step 4: Simplify right side
   82,023x = 31,994,476,900
5. Step 5: Solve for x
   x = 31,994,476,900/82,023
6. Step 6: Final answer
   x = 390,067.14