Finding the Third Proportional to 176,772 and 384,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,772 : 384,280.50 = 384,280.50 : x
2. Step 2: Convert to fraction form
   176,772/384,280.50 = 384,280.50/x
3. Step 3: Cross multiply
   176,772x = 384,280.50 × 384,280.50
4. Step 4: Simplify right side
   176,772x = 147,671,502,680.25
5. Step 5: Solve for x
   x = 147,671,502,680.25/176,772
6. Step 6: Final answer
   x = 835,378.36