Finding the Third Proportional to 64,967 and 142,084

Step by Step Solution

1. Step 1: Write the proportion equation
   64,967 : 142,084 = 142,084 : x
2. Step 2: Convert to fraction form
   64,967/142,084 = 142,084/x
3. Step 3: Cross multiply
   64,967x = 142,084 × 142,084
4. Step 4: Simplify right side
   64,967x = 20,187,863,056
5. Step 5: Solve for x
   x = 20,187,863,056/64,967
6. Step 6: Final answer
   x = 310,740.27