Finding the Third Proportional to 289,638 and 447,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   289,638 : 447,592.50 = 447,592.50 : x
2. Step 2: Convert to fraction form
   289,638/447,592.50 = 447,592.50/x
3. Step 3: Cross multiply
   289,638x = 447,592.50 × 447,592.50
4. Step 4: Simplify right side
   289,638x = 200,339,046,056.25
5. Step 5: Solve for x
   x = 200,339,046,056.25/289,638
6. Step 6: Final answer
   x = 691,687.71