Finding the Third Proportional to 67,142 and 148,257

Step by Step Solution

1. Step 1: Write the proportion equation
   67,142 : 148,257 = 148,257 : x
2. Step 2: Convert to fraction form
   67,142/148,257 = 148,257/x
3. Step 3: Cross multiply
   67,142x = 148,257 × 148,257
4. Step 4: Simplify right side
   67,142x = 21,980,138,049
5. Step 5: Solve for x
   x = 21,980,138,049/67,142
6. Step 6: Final answer
   x = 327,367.94