Finding the Third Proportional to 83,759.25 and 182,577

Step by Step Solution

1. Step 1: Write the proportion equation
   83,759.25 : 182,577 = 182,577 : x
2. Step 2: Convert to fraction form
   83,759.25/182,577 = 182,577/x
3. Step 3: Cross multiply
   83,759.25x = 182,577 × 182,577
4. Step 4: Simplify right side
   83,759.25x = 33,334,360,929
5. Step 5: Solve for x
   x = 33,334,360,929/83,759.25
6. Step 6: Final answer
   x = 397,978.26