Finding the Third Proportional to 189,055.50 and 395,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,055.50 : 395,638.50 = 395,638.50 : x
2. Step 2: Convert to fraction form
   189,055.50/395,638.50 = 395,638.50/x
3. Step 3: Cross multiply
   189,055.50x = 395,638.50 × 395,638.50
4. Step 4: Simplify right side
   189,055.50x = 156,529,822,682.25
5. Step 5: Solve for x
   x = 156,529,822,682.25/189,055.50
6. Step 6: Final answer
   x = 827,956.99