Finding the Third Proportional to 185,782.50 and 395,541

Step by Step Solution

1. Step 1: Write the proportion equation
   185,782.50 : 395,541 = 395,541 : x
2. Step 2: Convert to fraction form
   185,782.50/395,541 = 395,541/x
3. Step 3: Cross multiply
   185,782.50x = 395,541 × 395,541
4. Step 4: Simplify right side
   185,782.50x = 156,452,682,681
5. Step 5: Solve for x
   x = 156,452,682,681/185,782.50
6. Step 6: Final answer
   x = 842,128.20