Finding the Third Proportional to 178,716 and 384,890

Step by Step Solution

1. Step 1: Write the proportion equation
   178,716 : 384,890 = 384,890 : x
2. Step 2: Convert to fraction form
   178,716/384,890 = 384,890/x
3. Step 3: Cross multiply
   178,716x = 384,890 × 384,890
4. Step 4: Simplify right side
   178,716x = 148,140,312,100
5. Step 5: Solve for x
   x = 148,140,312,100/178,716
6. Step 6: Final answer
   x = 828,914.66