Finding the Third Proportional to 65,462 and 100,766

Step by Step Solution

1. Step 1: Write the proportion equation
   65,462 : 100,766 = 100,766 : x
2. Step 2: Convert to fraction form
   65,462/100,766 = 100,766/x
3. Step 3: Cross multiply
   65,462x = 100,766 × 100,766
4. Step 4: Simplify right side
   65,462x = 10,153,786,756
5. Step 5: Solve for x
   x = 10,153,786,756/65,462
6. Step 6: Final answer
   x = 155,109.63