Finding the Third Proportional to 85,414 and 182,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,414 : 182,650.50 = 182,650.50 : x
2. Step 2: Convert to fraction form
   85,414/182,650.50 = 182,650.50/x
3. Step 3: Cross multiply
   85,414x = 182,650.50 × 182,650.50
4. Step 4: Simplify right side
   85,414x = 33,361,205,150.25
5. Step 5: Solve for x
   x = 33,361,205,150.25/85,414
6. Step 6: Final answer
   x = 390,582.40