Finding the Third Proportional to 179,928 and 384,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,928 : 384,769.50 = 384,769.50 : x
2. Step 2: Convert to fraction form
   179,928/384,769.50 = 384,769.50/x
3. Step 3: Cross multiply
   179,928x = 384,769.50 × 384,769.50
4. Step 4: Simplify right side
   179,928x = 148,047,568,130.25
5. Step 5: Solve for x
   x = 148,047,568,130.25/179,928
6. Step 6: Final answer
   x = 822,815.62