Finding the Third Proportional to 83,240 and 182,050

Step by Step Solution

1. Step 1: Write the proportion equation
   83,240 : 182,050 = 182,050 : x
2. Step 2: Convert to fraction form
   83,240/182,050 = 182,050/x
3. Step 3: Cross multiply
   83,240x = 182,050 × 182,050
4. Step 4: Simplify right side
   83,240x = 33,142,202,500
5. Step 5: Solve for x
   x = 33,142,202,500/83,240
6. Step 6: Final answer
   x = 398,152.36