Finding the Third Proportional to 64,855 and 142,012

Step by Step Solution

1. Step 1: Write the proportion equation
   64,855 : 142,012 = 142,012 : x
2. Step 2: Convert to fraction form
   64,855/142,012 = 142,012/x
3. Step 3: Cross multiply
   64,855x = 142,012 × 142,012
4. Step 4: Simplify right side
   64,855x = 20,167,408,144
5. Step 5: Solve for x
   x = 20,167,408,144/64,855
6. Step 6: Final answer
   x = 310,961.50