Finding the Third Proportional to 65,868 and 102,182

Step by Step Solution

1. Step 1: Write the proportion equation
   65,868 : 102,182 = 102,182 : x
2. Step 2: Convert to fraction form
   65,868/102,182 = 102,182/x
3. Step 3: Cross multiply
   65,868x = 102,182 × 102,182
4. Step 4: Simplify right side
   65,868x = 10,441,161,124
5. Step 5: Solve for x
   x = 10,441,161,124/65,868
6. Step 6: Final answer
   x = 158,516.44