Finding the Third Proportional to 81,580 and 180,630

Step by Step Solution

1. Step 1: Write the proportion equation
   81,580 : 180,630 = 180,630 : x
2. Step 2: Convert to fraction form
   81,580/180,630 = 180,630/x
3. Step 3: Cross multiply
   81,580x = 180,630 × 180,630
4. Step 4: Simplify right side
   81,580x = 32,627,196,900
5. Step 5: Solve for x
   x = 32,627,196,900/81,580
6. Step 6: Final answer
   x = 399,941.12