Finding the Third Proportional to 46,414 and 100,238

Step by Step Solution

1. Step 1: Write the proportion equation
   46,414 : 100,238 = 100,238 : x
2. Step 2: Convert to fraction form
   46,414/100,238 = 100,238/x
3. Step 3: Cross multiply
   46,414x = 100,238 × 100,238
4. Step 4: Simplify right side
   46,414x = 10,047,656,644
5. Step 5: Solve for x
   x = 10,047,656,644/46,414
6. Step 6: Final answer
   x = 216,479.01