Finding the Third Proportional to 46,958 and 103,132

Step by Step Solution

1. Step 1: Write the proportion equation
   46,958 : 103,132 = 103,132 : x
2. Step 2: Convert to fraction form
   46,958/103,132 = 103,132/x
3. Step 3: Cross multiply
   46,958x = 103,132 × 103,132
4. Step 4: Simplify right side
   46,958x = 10,636,209,424
5. Step 5: Solve for x
   x = 10,636,209,424/46,958
6. Step 6: Final answer
   x = 226,504.74