Finding the Third Proportional to 178,219.50 and 384,384

Step by Step Solution

1. Step 1: Write the proportion equation
   178,219.50 : 384,384 = 384,384 : x
2. Step 2: Convert to fraction form
   178,219.50/384,384 = 384,384/x
3. Step 3: Cross multiply
   178,219.50x = 384,384 × 384,384
4. Step 4: Simplify right side
   178,219.50x = 147,751,059,456
5. Step 5: Solve for x
   x = 147,751,059,456/178,219.50
6. Step 6: Final answer
   x = 829,039.80