Finding the Third Proportional to 82,761 and 178,638

Step by Step Solution

1. Step 1: Write the proportion equation
   82,761 : 178,638 = 178,638 : x
2. Step 2: Convert to fraction form
   82,761/178,638 = 178,638/x
3. Step 3: Cross multiply
   82,761x = 178,638 × 178,638
4. Step 4: Simplify right side
   82,761x = 31,911,535,044
5. Step 5: Solve for x
   x = 31,911,535,044/82,761
6. Step 6: Final answer
   x = 385,586.63