Finding the Third Proportional to 140,874 and 182,880

Step by Step Solution

1. Step 1: Write the proportion equation
   140,874 : 182,880 = 182,880 : x
2. Step 2: Convert to fraction form
   140,874/182,880 = 182,880/x
3. Step 3: Cross multiply
   140,874x = 182,880 × 182,880
4. Step 4: Simplify right side
   140,874x = 33,445,094,400
5. Step 5: Solve for x
   x = 33,445,094,400/140,874
6. Step 6: Final answer
   x = 237,411.41