Finding the Third Proportional to 166,696 and 359,460

Step by Step Solution

1. Step 1: Write the proportion equation
   166,696 : 359,460 = 359,460 : x
2. Step 2: Convert to fraction form
   166,696/359,460 = 359,460/x
3. Step 3: Cross multiply
   166,696x = 359,460 × 359,460
4. Step 4: Simplify right side
   166,696x = 129,211,491,600
5. Step 5: Solve for x
   x = 129,211,491,600/166,696
6. Step 6: Final answer
   x = 775,132.53