Finding the Third Proportional to 140,308 and 213,963

Step by Step Solution

1. Step 1: Write the proportion equation
   140,308 : 213,963 = 213,963 : x
2. Step 2: Convert to fraction form
   140,308/213,963 = 213,963/x
3. Step 3: Cross multiply
   140,308x = 213,963 × 213,963
4. Step 4: Simplify right side
   140,308x = 45,780,165,369
5. Step 5: Solve for x
   x = 45,780,165,369/140,308
6. Step 6: Final answer
   x = 326,283.36