Finding the Third Proportional to 139,343 and 213,513

Step by Step Solution

1. Step 1: Write the proportion equation
   139,343 : 213,513 = 213,513 : x
2. Step 2: Convert to fraction form
   139,343/213,513 = 213,513/x
3. Step 3: Cross multiply
   139,343x = 213,513 × 213,513
4. Step 4: Simplify right side
   139,343x = 45,587,801,169
5. Step 5: Solve for x
   x = 45,587,801,169/139,343
6. Step 6: Final answer
   x = 327,162.48