Finding the Third Proportional to 83,295 and 182,123

Step by Step Solution

1. Step 1: Write the proportion equation
   83,295 : 182,123 = 182,123 : x
2. Step 2: Convert to fraction form
   83,295/182,123 = 182,123/x
3. Step 3: Cross multiply
   83,295x = 182,123 × 182,123
4. Step 4: Simplify right side
   83,295x = 33,168,787,129
5. Step 5: Solve for x
   x = 33,168,787,129/83,295
6. Step 6: Final answer
   x = 398,208.62