Finding the Third Proportional to 131,384 and 289,012

Step by Step Solution

1. Step 1: Write the proportion equation
   131,384 : 289,012 = 289,012 : x
2. Step 2: Convert to fraction form
   131,384/289,012 = 289,012/x
3. Step 3: Cross multiply
   131,384x = 289,012 × 289,012
4. Step 4: Simplify right side
   131,384x = 83,527,936,144
5. Step 5: Solve for x
   x = 83,527,936,144/131,384
6. Step 6: Final answer
   x = 635,754.25