Finding the Third Proportional to 83,405 and 179,899

Step by Step Solution

1. Step 1: Write the proportion equation
   83,405 : 179,899 = 179,899 : x
2. Step 2: Convert to fraction form
   83,405/179,899 = 179,899/x
3. Step 3: Cross multiply
   83,405x = 179,899 × 179,899
4. Step 4: Simplify right side
   83,405x = 32,363,650,201
5. Step 5: Solve for x
   x = 32,363,650,201/83,405
6. Step 6: Final answer
   x = 388,030.10