Finding the Third Proportional to 65,844 and 142,928

Step by Step Solution

1. Step 1: Write the proportion equation
   65,844 : 142,928 = 142,928 : x
2. Step 2: Convert to fraction form
   65,844/142,928 = 142,928/x
3. Step 3: Cross multiply
   65,844x = 142,928 × 142,928
4. Step 4: Simplify right side
   65,844x = 20,428,413,184
5. Step 5: Solve for x
   x = 20,428,413,184/65,844
6. Step 6: Final answer
   x = 310,254.74