Finding the Third Proportional to 82,040 and 178,085

Step by Step Solution

1. Step 1: Write the proportion equation
   82,040 : 178,085 = 178,085 : x
2. Step 2: Convert to fraction form
   82,040/178,085 = 178,085/x
3. Step 3: Cross multiply
   82,040x = 178,085 × 178,085
4. Step 4: Simplify right side
   82,040x = 31,714,267,225
5. Step 5: Solve for x
   x = 31,714,267,225/82,040
6. Step 6: Final answer
   x = 386,570.79