Finding the Third Proportional to 138,342 and 213,650

Step by Step Solution

1. Step 1: Write the proportion equation
   138,342 : 213,650 = 213,650 : x
2. Step 2: Convert to fraction form
   138,342/213,650 = 213,650/x
3. Step 3: Cross multiply
   138,342x = 213,650 × 213,650
4. Step 4: Simplify right side
   138,342x = 45,646,322,500
5. Step 5: Solve for x
   x = 45,646,322,500/138,342
6. Step 6: Final answer
   x = 329,952.74