Finding the Third Proportional to 46,344 and 101,186

Step by Step Solution

1. Step 1: Write the proportion equation
   46,344 : 101,186 = 101,186 : x
2. Step 2: Convert to fraction form
   46,344/101,186 = 101,186/x
3. Step 3: Cross multiply
   46,344x = 101,186 × 101,186
4. Step 4: Simplify right side
   46,344x = 10,238,606,596
5. Step 5: Solve for x
   x = 10,238,606,596/46,344
6. Step 6: Final answer
   x = 220,926.26