Finding the Third Proportional to 166,340 and 364,564

Step by Step Solution

1. Step 1: Write the proportion equation
   166,340 : 364,564 = 364,564 : x
2. Step 2: Convert to fraction form
   166,340/364,564 = 364,564/x
3. Step 3: Cross multiply
   166,340x = 364,564 × 364,564
4. Step 4: Simplify right side
   166,340x = 132,906,910,096
5. Step 5: Solve for x
   x = 132,906,910,096/166,340
6. Step 6: Final answer
   x = 799,007.52