Finding the Third Proportional to 65,333 and 143,114

Step by Step Solution

1. Step 1: Write the proportion equation
   65,333 : 143,114 = 143,114 : x
2. Step 2: Convert to fraction form
   65,333/143,114 = 143,114/x
3. Step 3: Cross multiply
   65,333x = 143,114 × 143,114
4. Step 4: Simplify right side
   65,333x = 20,481,616,996
5. Step 5: Solve for x
   x = 20,481,616,996/65,333
6. Step 6: Final answer
   x = 313,495.74