Finding the Third Proportional to 82,085 and 178,548

Step by Step Solution

1. Step 1: Write the proportion equation
   82,085 : 178,548 = 178,548 : x
2. Step 2: Convert to fraction form
   82,085/178,548 = 178,548/x
3. Step 3: Cross multiply
   82,085x = 178,548 × 178,548
4. Step 4: Simplify right side
   82,085x = 31,879,388,304
5. Step 5: Solve for x
   x = 31,879,388,304/82,085
6. Step 6: Final answer
   x = 388,370.45