Finding the Third Proportional to 65,196 and 103,626

Step by Step Solution

1. Step 1: Write the proportion equation
   65,196 : 103,626 = 103,626 : x
2. Step 2: Convert to fraction form
   65,196/103,626 = 103,626/x
3. Step 3: Cross multiply
   65,196x = 103,626 × 103,626
4. Step 4: Simplify right side
   65,196x = 10,738,347,876
5. Step 5: Solve for x
   x = 10,738,347,876/65,196
6. Step 6: Final answer
   x = 164,708.69