Finding the Third Proportional to 83,580 and 179,580

Step by Step Solution

1. Step 1: Write the proportion equation
   83,580 : 179,580 = 179,580 : x
2. Step 2: Convert to fraction form
   83,580/179,580 = 179,580/x
3. Step 3: Cross multiply
   83,580x = 179,580 × 179,580
4. Step 4: Simplify right side
   83,580x = 32,248,976,400
5. Step 5: Solve for x
   x = 32,248,976,400/83,580
6. Step 6: Final answer
   x = 385,845.61