Finding the Third Proportional to 75,920.50 and 166,142

Step by Step Solution

1. Step 1: Write the proportion equation
   75,920.50 : 166,142 = 166,142 : x
2. Step 2: Convert to fraction form
   75,920.50/166,142 = 166,142/x
3. Step 3: Cross multiply
   75,920.50x = 166,142 × 166,142
4. Step 4: Simplify right side
   75,920.50x = 27,603,164,164
5. Step 5: Solve for x
   x = 27,603,164,164/75,920.50
6. Step 6: Final answer
   x = 363,579.85