Finding the Third Proportional to 166,146 and 261,123

Step by Step Solution

1. Step 1: Write the proportion equation
   166,146 : 261,123 = 261,123 : x
2. Step 2: Convert to fraction form
   166,146/261,123 = 261,123/x
3. Step 3: Cross multiply
   166,146x = 261,123 × 261,123
4. Step 4: Simplify right side
   166,146x = 68,185,221,129
5. Step 5: Solve for x
   x = 68,185,221,129/166,146
6. Step 6: Final answer
   x = 410,393.40