Finding the Third Proportional to 189,178.50 and 395,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,178.50 : 395,878.50 = 395,878.50 : x
2. Step 2: Convert to fraction form
   189,178.50/395,878.50 = 395,878.50/x
3. Step 3: Cross multiply
   189,178.50x = 395,878.50 × 395,878.50
4. Step 4: Simplify right side
   189,178.50x = 156,719,786,762.25
5. Step 5: Solve for x
   x = 156,719,786,762.25/189,178.50
6. Step 6: Final answer
   x = 828,422.82