Finding the Third Proportional to 166,436 and 364,010

Step by Step Solution

1. Step 1: Write the proportion equation
   166,436 : 364,010 = 364,010 : x
2. Step 2: Convert to fraction form
   166,436/364,010 = 364,010/x
3. Step 3: Cross multiply
   166,436x = 364,010 × 364,010
4. Step 4: Simplify right side
   166,436x = 132,503,280,100
5. Step 5: Solve for x
   x = 132,503,280,100/166,436
6. Step 6: Final answer
   x = 796,121.51