Finding the Third Proportional to 186,849 and 289,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,849 : 289,453.50 = 289,453.50 : x
2. Step 2: Convert to fraction form
   186,849/289,453.50 = 289,453.50/x
3. Step 3: Cross multiply
   186,849x = 289,453.50 × 289,453.50
4. Step 4: Simplify right side
   186,849x = 83,783,328,662.25
5. Step 5: Solve for x
   x = 83,783,328,662.25/186,849
6. Step 6: Final answer
   x = 448,401.27