Finding the Third Proportional to 83,225.25 and 182,017.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83,225.25 : 182,017.69 = 182,017.69 : x
2. Step 2: Convert to fraction form
   83,225.25/182,017.69 = 182,017.69/x
3. Step 3: Cross multiply
   83,225.25x = 182,017.69 × 182,017.69
4. Step 4: Simplify right side
   83,225.25x = 33,130,438,562.85
5. Step 5: Solve for x
   x = 33,130,438,562.85/83,225.25
6. Step 6: Final answer
   x = 398,081.57