Finding the Third Proportional to 82,624 and 178,496

Step by Step Solution

1. Step 1: Write the proportion equation
   82,624 : 178,496 = 178,496 : x
2. Step 2: Convert to fraction form
   82,624/178,496 = 178,496/x
3. Step 3: Cross multiply
   82,624x = 178,496 × 178,496
4. Step 4: Simplify right side
   82,624x = 31,860,822,016
5. Step 5: Solve for x
   x = 31,860,822,016/82,624
6. Step 6: Final answer
   x = 385,612.20