Finding the Third Proportional to 82,020 and 178,269

Step by Step Solution

1. Step 1: Write the proportion equation
   82,020 : 178,269 = 178,269 : x
2. Step 2: Convert to fraction form
   82,020/178,269 = 178,269/x
3. Step 3: Cross multiply
   82,020x = 178,269 × 178,269
4. Step 4: Simplify right side
   82,020x = 31,779,836,361
5. Step 5: Solve for x
   x = 31,779,836,361/82,020
6. Step 6: Final answer
   x = 387,464.48