Finding the Third Proportional to 83,141.44 and 182,377.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83,141.44 : 182,377.69 = 182,377.69 : x
2. Step 2: Convert to fraction form
   83,141.44/182,377.69 = 182,377.69/x
3. Step 3: Cross multiply
   83,141.44x = 182,377.69 × 182,377.69
4. Step 4: Simplify right side
   83,141.44x = 33,261,620,897.85
5. Step 5: Solve for x
   x = 33,261,620,897.85/83,141.44
6. Step 6: Final answer
   x = 400,060.69