Finding the Third Proportional to 131,435 and 205,914

Step by Step Solution

1. Step 1: Write the proportion equation
   131,435 : 205,914 = 205,914 : x
2. Step 2: Convert to fraction form
   131,435/205,914 = 205,914/x
3. Step 3: Cross multiply
   131,435x = 205,914 × 205,914
4. Step 4: Simplify right side
   131,435x = 42,400,575,396
5. Step 5: Solve for x
   x = 42,400,575,396/131,435
6. Step 6: Final answer
   x = 322,597.29