Finding the Third Proportional to 65,104 and 142,672

Step by Step Solution

1. Step 1: Write the proportion equation
   65,104 : 142,672 = 142,672 : x
2. Step 2: Convert to fraction form
   65,104/142,672 = 142,672/x
3. Step 3: Cross multiply
   65,104x = 142,672 × 142,672
4. Step 4: Simplify right side
   65,104x = 20,355,299,584
5. Step 5: Solve for x
   x = 20,355,299,584/65,104
6. Step 6: Final answer
   x = 312,658.20