Finding the Third Proportional to 65,096 and 104,196

Step by Step Solution

1. Step 1: Write the proportion equation
   65,096 : 104,196 = 104,196 : x
2. Step 2: Convert to fraction form
   65,096/104,196 = 104,196/x
3. Step 3: Cross multiply
   65,096x = 104,196 × 104,196
4. Step 4: Simplify right side
   65,096x = 10,856,806,416
5. Step 5: Solve for x
   x = 10,856,806,416/65,096
6. Step 6: Final answer
   x = 166,781.47