Finding the Third Proportional to 83,237 and 182,019

Step by Step Solution

1. Step 1: Write the proportion equation
   83,237 : 182,019 = 182,019 : x
2. Step 2: Convert to fraction form
   83,237/182,019 = 182,019/x
3. Step 3: Cross multiply
   83,237x = 182,019 × 182,019
4. Step 4: Simplify right side
   83,237x = 33,130,916,361
5. Step 5: Solve for x
   x = 33,130,916,361/83,237
6. Step 6: Final answer
   x = 398,031.12