Finding the Third Proportional to 132,523 and 205,426

Step by Step Solution

1. Step 1: Write the proportion equation
   132,523 : 205,426 = 205,426 : x
2. Step 2: Convert to fraction form
   132,523/205,426 = 205,426/x
3. Step 3: Cross multiply
   132,523x = 205,426 × 205,426
4. Step 4: Simplify right side
   132,523x = 42,199,841,476
5. Step 5: Solve for x
   x = 42,199,841,476/132,523
6. Step 6: Final answer
   x = 318,434.09