Finding the Third Proportional to 83,860 and 182,483

Step by Step Solution

1. Step 1: Write the proportion equation
   83,860 : 182,483 = 182,483 : x
2. Step 2: Convert to fraction form
   83,860/182,483 = 182,483/x
3. Step 3: Cross multiply
   83,860x = 182,483 × 182,483
4. Step 4: Simplify right side
   83,860x = 33,300,045,289
5. Step 5: Solve for x
   x = 33,300,045,289/83,860
6. Step 6: Final answer
   x = 397,090.93