Finding the Third Proportional to 42,317 and 100,257

Step by Step Solution

1. Step 1: Write the proportion equation
   42,317 : 100,257 = 100,257 : x
2. Step 2: Convert to fraction form
   42,317/100,257 = 100,257/x
3. Step 3: Cross multiply
   42,317x = 100,257 × 100,257
4. Step 4: Simplify right side
   42,317x = 10,051,466,049
5. Step 5: Solve for x
   x = 10,051,466,049/42,317
6. Step 6: Final answer
   x = 237,527.85