Finding the Third Proportional to 82,814 and 178,740

Step by Step Solution

1. Step 1: Write the proportion equation
   82,814 : 178,740 = 178,740 : x
2. Step 2: Convert to fraction form
   82,814/178,740 = 178,740/x
3. Step 3: Cross multiply
   82,814x = 178,740 × 178,740
4. Step 4: Simplify right side
   82,814x = 31,947,987,600
5. Step 5: Solve for x
   x = 31,947,987,600/82,814
6. Step 6: Final answer
   x = 385,780.03