Finding the Third Proportional to 64,980 and 142,371

Step by Step Solution

1. Step 1: Write the proportion equation
   64,980 : 142,371 = 142,371 : x
2. Step 2: Convert to fraction form
   64,980/142,371 = 142,371/x
3. Step 3: Cross multiply
   64,980x = 142,371 × 142,371
4. Step 4: Simplify right side
   64,980x = 20,269,501,641
5. Step 5: Solve for x
   x = 20,269,501,641/64,980
6. Step 6: Final answer
   x = 311,934.47