Finding the Third Proportional to 80,069 and 185,340

Step by Step Solution

1. Step 1: Write the proportion equation
   80,069 : 185,340 = 185,340 : x
2. Step 2: Convert to fraction form
   80,069/185,340 = 185,340/x
3. Step 3: Cross multiply
   80,069x = 185,340 × 185,340
4. Step 4: Simplify right side
   80,069x = 34,350,915,600
5. Step 5: Solve for x
   x = 34,350,915,600/80,069
6. Step 6: Final answer
   x = 429,016.42