Finding the Third Proportional to 131,547 and 205,020

Step by Step Solution

1. Step 1: Write the proportion equation
   131,547 : 205,020 = 205,020 : x
2. Step 2: Convert to fraction form
   131,547/205,020 = 205,020/x
3. Step 3: Cross multiply
   131,547x = 205,020 × 205,020
4. Step 4: Simplify right side
   131,547x = 42,033,200,400
5. Step 5: Solve for x
   x = 42,033,200,400/131,547
6. Step 6: Final answer
   x = 319,529.90