Finding the Third Proportional to 46,561 and 101,858

Step by Step Solution

1. Step 1: Write the proportion equation
   46,561 : 101,858 = 101,858 : x
2. Step 2: Convert to fraction form
   46,561/101,858 = 101,858/x
3. Step 3: Cross multiply
   46,561x = 101,858 × 101,858
4. Step 4: Simplify right side
   46,561x = 10,375,052,164
5. Step 5: Solve for x
   x = 10,375,052,164/46,561
6. Step 6: Final answer
   x = 222,827.09