Finding the Third Proportional to 46,948 and 101,858

Step by Step Solution

1. Step 1: Write the proportion equation
   46,948 : 101,858 = 101,858 : x
2. Step 2: Convert to fraction form
   46,948/101,858 = 101,858/x
3. Step 3: Cross multiply
   46,948x = 101,858 × 101,858
4. Step 4: Simplify right side
   46,948x = 10,375,052,164
5. Step 5: Solve for x
   x = 10,375,052,164/46,948
6. Step 6: Final answer
   x = 220,990.29