Finding the Third Proportional to 65,736 and 100,242

Step by Step Solution

1. Step 1: Write the proportion equation
   65,736 : 100,242 = 100,242 : x
2. Step 2: Convert to fraction form
   65,736/100,242 = 100,242/x
3. Step 3: Cross multiply
   65,736x = 100,242 × 100,242
4. Step 4: Simplify right side
   65,736x = 10,048,458,564
5. Step 5: Solve for x
   x = 10,048,458,564/65,736
6. Step 6: Final answer
   x = 152,860.82