Finding the Third Proportional to 178,173 and 384,196

Step by Step Solution

1. Step 1: Write the proportion equation
   178,173 : 384,196 = 384,196 : x
2. Step 2: Convert to fraction form
   178,173/384,196 = 384,196/x
3. Step 3: Cross multiply
   178,173x = 384,196 × 384,196
4. Step 4: Simplify right side
   178,173x = 147,606,566,416
5. Step 5: Solve for x
   x = 147,606,566,416/178,173
6. Step 6: Final answer
   x = 828,445.20