Finding the Third Proportional to 65,288 and 142,877

Step by Step Solution

1. Step 1: Write the proportion equation
   65,288 : 142,877 = 142,877 : x
2. Step 2: Convert to fraction form
   65,288/142,877 = 142,877/x
3. Step 3: Cross multiply
   65,288x = 142,877 × 142,877
4. Step 4: Simplify right side
   65,288x = 20,413,837,129
5. Step 5: Solve for x
   x = 20,413,837,129/65,288
6. Step 6: Final answer
   x = 312,673.65