Finding the Third Proportional to 131,584 and 289,410

Step by Step Solution

1. Step 1: Write the proportion equation
   131,584 : 289,410 = 289,410 : x
2. Step 2: Convert to fraction form
   131,584/289,410 = 289,410/x
3. Step 3: Cross multiply
   131,584x = 289,410 × 289,410
4. Step 4: Simplify right side
   131,584x = 83,758,148,100
5. Step 5: Solve for x
   x = 83,758,148,100/131,584
6. Step 6: Final answer
   x = 636,537.48