Finding the Third Proportional to 65,846 and 142,876

Step by Step Solution

1. Step 1: Write the proportion equation
   65,846 : 142,876 = 142,876 : x
2. Step 2: Convert to fraction form
   65,846/142,876 = 142,876/x
3. Step 3: Cross multiply
   65,846x = 142,876 × 142,876
4. Step 4: Simplify right side
   65,846x = 20,413,551,376
5. Step 5: Solve for x
   x = 20,413,551,376/65,846
6. Step 6: Final answer
   x = 310,019.61