Finding the Third Proportional to 65,106 and 142,676

Step by Step Solution

1. Step 1: Write the proportion equation
   65,106 : 142,676 = 142,676 : x
2. Step 2: Convert to fraction form
   65,106/142,676 = 142,676/x
3. Step 3: Cross multiply
   65,106x = 142,676 × 142,676
4. Step 4: Simplify right side
   65,106x = 20,356,440,976
5. Step 5: Solve for x
   x = 20,356,440,976/65,106
6. Step 6: Final answer
   x = 312,666.13