Finding the Third Proportional to 289,731 and 447,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   289,731 : 447,706.50 = 447,706.50 : x
2. Step 2: Convert to fraction form
   289,731/447,706.50 = 447,706.50/x
3. Step 3: Cross multiply
   289,731x = 447,706.50 × 447,706.50
4. Step 4: Simplify right side
   289,731x = 200,441,110,142.25
5. Step 5: Solve for x
   x = 200,441,110,142.25/289,731
6. Step 6: Final answer
   x = 691,817.96