Finding the Third Proportional to 82,820 and 178,753

Step by Step Solution

1. Step 1: Write the proportion equation
   82,820 : 178,753 = 178,753 : x
2. Step 2: Convert to fraction form
   82,820/178,753 = 178,753/x
3. Step 3: Cross multiply
   82,820x = 178,753 × 178,753
4. Step 4: Simplify right side
   82,820x = 31,952,635,009
5. Step 5: Solve for x
   x = 31,952,635,009/82,820
6. Step 6: Final answer
   x = 385,808.20