Finding the Third Proportional to 46,342 and 101,182

Step by Step Solution

1. Step 1: Write the proportion equation
   46,342 : 101,182 = 101,182 : x
2. Step 2: Convert to fraction form
   46,342/101,182 = 101,182/x
3. Step 3: Cross multiply
   46,342x = 101,182 × 101,182
4. Step 4: Simplify right side
   46,342x = 10,237,797,124
5. Step 5: Solve for x
   x = 10,237,797,124/46,342
6. Step 6: Final answer
   x = 220,918.33