Finding the Third Proportional to 300,945 and 399,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,945 : 399,496.50 = 399,496.50 : x
2. Step 2: Convert to fraction form
   300,945/399,496.50 = 399,496.50/x
3. Step 3: Cross multiply
   300,945x = 399,496.50 × 399,496.50
4. Step 4: Simplify right side
   300,945x = 159,597,453,512.25
5. Step 5: Solve for x
   x = 159,597,453,512.25/300,945
6. Step 6: Final answer
   x = 530,321.00