Finding the Third Proportional to 82,818 and 178,749

Step by Step Solution

1. Step 1: Write the proportion equation
   82,818 : 178,749 = 178,749 : x
2. Step 2: Convert to fraction form
   82,818/178,749 = 178,749/x
3. Step 3: Cross multiply
   82,818x = 178,749 × 178,749
4. Step 4: Simplify right side
   82,818x = 31,951,205,001
5. Step 5: Solve for x
   x = 31,951,205,001/82,818
6. Step 6: Final answer
   x = 385,800.25