Finding the Third Proportional to 140,314 and 213,973

Step by Step Solution

1. Step 1: Write the proportion equation
   140,314 : 213,973 = 213,973 : x
2. Step 2: Convert to fraction form
   140,314/213,973 = 213,973/x
3. Step 3: Cross multiply
   140,314x = 213,973 × 213,973
4. Step 4: Simplify right side
   140,314x = 45,784,444,729
5. Step 5: Solve for x
   x = 45,784,444,729/140,314
6. Step 6: Final answer
   x = 326,299.90