Finding the Third Proportional to 65,588 and 142,855

Step by Step Solution

1. Step 1: Write the proportion equation
   65,588 : 142,855 = 142,855 : x
2. Step 2: Convert to fraction form
   65,588/142,855 = 142,855/x
3. Step 3: Cross multiply
   65,588x = 142,855 × 142,855
4. Step 4: Simplify right side
   65,588x = 20,407,551,025
5. Step 5: Solve for x
   x = 20,407,551,025/65,588
6. Step 6: Final answer
   x = 311,147.63