Finding the Third Proportional to 83,158 and 182,922

Step by Step Solution

1. Step 1: Write the proportion equation
   83,158 : 182,922 = 182,922 : x
2. Step 2: Convert to fraction form
   83,158/182,922 = 182,922/x
3. Step 3: Cross multiply
   83,158x = 182,922 × 182,922
4. Step 4: Simplify right side
   83,158x = 33,460,458,084
5. Step 5: Solve for x
   x = 33,460,458,084/83,158
6. Step 6: Final answer
   x = 402,372.09