Finding the Third Proportional to 189,038.81 and 395,604

Step by Step Solution

1. Step 1: Write the proportion equation
   189,038.81 : 395,604 = 395,604 : x
2. Step 2: Convert to fraction form
   189,038.81/395,604 = 395,604/x
3. Step 3: Cross multiply
   189,038.81x = 395,604 × 395,604
4. Step 4: Simplify right side
   189,038.81x = 156,502,524,816
5. Step 5: Solve for x
   x = 156,502,524,816/189,038.81
6. Step 6: Final answer
   x = 827,885.67