Finding the Third Proportional to 131,382 and 289,007

Step by Step Solution

1. Step 1: Write the proportion equation
   131,382 : 289,007 = 289,007 : x
2. Step 2: Convert to fraction form
   131,382/289,007 = 289,007/x
3. Step 3: Cross multiply
   131,382x = 289,007 × 289,007
4. Step 4: Simplify right side
   131,382x = 83,525,046,049
5. Step 5: Solve for x
   x = 83,525,046,049/131,382
6. Step 6: Final answer
   x = 635,741.93