Finding the Third Proportional to 166,456.50 and 260,841

Step by Step Solution

1. Step 1: Write the proportion equation
   166,456.50 : 260,841 = 260,841 : x
2. Step 2: Convert to fraction form
   166,456.50/260,841 = 260,841/x
3. Step 3: Cross multiply
   166,456.50x = 260,841 × 260,841
4. Step 4: Simplify right side
   166,456.50x = 68,038,027,281
5. Step 5: Solve for x
   x = 68,038,027,281/166,456.50
6. Step 6: Final answer
   x = 408,743.59