Finding the Third Proportional to 82,807 and 178,739

Step by Step Solution

1. Step 1: Write the proportion equation
   82,807 : 178,739 = 178,739 : x
2. Step 2: Convert to fraction form
   82,807/178,739 = 178,739/x
3. Step 3: Cross multiply
   82,807x = 178,739 × 178,739
4. Step 4: Simplify right side
   82,807x = 31,947,630,121
5. Step 5: Solve for x
   x = 31,947,630,121/82,807
6. Step 6: Final answer
   x = 385,808.33