Finding the Third Proportional to 83,143.13 and 182,383.31

Step by Step Solution

1. Step 1: Write the proportion equation
   83,143.13 : 182,383.31 = 182,383.31 : x
2. Step 2: Convert to fraction form
   83,143.13/182,383.31 = 182,383.31/x
3. Step 3: Cross multiply
   83,143.13x = 182,383.31 × 182,383.31
4. Step 4: Simplify right side
   83,143.13x = 33,263,672,678.47
5. Step 5: Solve for x
   x = 33,263,672,678.47/83,143.13
6. Step 6: Final answer
   x = 400,077.25