Finding the Third Proportional to 83,180.25 and 182,952

Step by Step Solution

1. Step 1: Write the proportion equation
   83,180.25 : 182,952 = 182,952 : x
2. Step 2: Convert to fraction form
   83,180.25/182,952 = 182,952/x
3. Step 3: Cross multiply
   83,180.25x = 182,952 × 182,952
4. Step 4: Simplify right side
   83,180.25x = 33,471,434,304
5. Step 5: Solve for x
   x = 33,471,434,304/83,180.25
6. Step 6: Final answer
   x = 402,396.41