Finding the Third Proportional to 132,426 and 205,175

Step by Step Solution

1. Step 1: Write the proportion equation
   132,426 : 205,175 = 205,175 : x
2. Step 2: Convert to fraction form
   132,426/205,175 = 205,175/x
3. Step 3: Cross multiply
   132,426x = 205,175 × 205,175
4. Step 4: Simplify right side
   132,426x = 42,096,780,625
5. Step 5: Solve for x
   x = 42,096,780,625/132,426
6. Step 6: Final answer
   x = 317,889.09