Finding the Third Proportional to 80,124 and 185,479

Step by Step Solution

1. Step 1: Write the proportion equation
   80,124 : 185,479 = 185,479 : x
2. Step 2: Convert to fraction form
   80,124/185,479 = 185,479/x
3. Step 3: Cross multiply
   80,124x = 185,479 × 185,479
4. Step 4: Simplify right side
   80,124x = 34,402,459,441
5. Step 5: Solve for x
   x = 34,402,459,441/80,124
6. Step 6: Final answer
   x = 429,365.23