Finding the Third Proportional to 166,280 and 359,184

Step by Step Solution

1. Step 1: Write the proportion equation
   166,280 : 359,184 = 359,184 : x
2. Step 2: Convert to fraction form
   166,280/359,184 = 359,184/x
3. Step 3: Cross multiply
   166,280x = 359,184 × 359,184
4. Step 4: Simplify right side
   166,280x = 129,013,145,856
5. Step 5: Solve for x
   x = 129,013,145,856/166,280
6. Step 6: Final answer
   x = 775,878.91