Finding the Third Proportional to 82,636 and 178,520

Step by Step Solution

1. Step 1: Write the proportion equation
   82,636 : 178,520 = 178,520 : x
2. Step 2: Convert to fraction form
   82,636/178,520 = 178,520/x
3. Step 3: Cross multiply
   82,636x = 178,520 × 178,520
4. Step 4: Simplify right side
   82,636x = 31,869,390,400
5. Step 5: Solve for x
   x = 31,869,390,400/82,636
6. Step 6: Final answer
   x = 385,659.89