Finding the Third Proportional to 64,859 and 142,020

Step by Step Solution

1. Step 1: Write the proportion equation
   64,859 : 142,020 = 142,020 : x
2. Step 2: Convert to fraction form
   64,859/142,020 = 142,020/x
3. Step 3: Cross multiply
   64,859x = 142,020 × 142,020
4. Step 4: Simplify right side
   64,859x = 20,169,680,400
5. Step 5: Solve for x
   x = 20,169,680,400/64,859
6. Step 6: Final answer
   x = 310,977.36