Finding the Third Proportional to 83,559 and 180,434

Step by Step Solution

1. Step 1: Write the proportion equation
   83,559 : 180,434 = 180,434 : x
2. Step 2: Convert to fraction form
   83,559/180,434 = 180,434/x
3. Step 3: Cross multiply
   83,559x = 180,434 × 180,434
4. Step 4: Simplify right side
   83,559x = 32,556,428,356
5. Step 5: Solve for x
   x = 32,556,428,356/83,559
6. Step 6: Final answer
   x = 389,622.04