Finding the Third Proportional to 82,034 and 178,892

Step by Step Solution

1. Step 1: Write the proportion equation
   82,034 : 178,892 = 178,892 : x
2. Step 2: Convert to fraction form
   82,034/178,892 = 178,892/x
3. Step 3: Cross multiply
   82,034x = 178,892 × 178,892
4. Step 4: Simplify right side
   82,034x = 32,002,347,664
5. Step 5: Solve for x
   x = 32,002,347,664/82,034
6. Step 6: Final answer
   x = 390,110.78