Finding the Third Proportional to 82,741 and 178,603

Step by Step Solution

1. Step 1: Write the proportion equation
   82,741 : 178,603 = 178,603 : x
2. Step 2: Convert to fraction form
   82,741/178,603 = 178,603/x
3. Step 3: Cross multiply
   82,741x = 178,603 × 178,603
4. Step 4: Simplify right side
   82,741x = 31,899,031,609
5. Step 5: Solve for x
   x = 31,899,031,609/82,741
6. Step 6: Final answer
   x = 385,528.72