Finding the Third Proportional to 80,068 and 185,337

Step by Step Solution

1. Step 1: Write the proportion equation
   80,068 : 185,337 = 185,337 : x
2. Step 2: Convert to fraction form
   80,068/185,337 = 185,337/x
3. Step 3: Cross multiply
   80,068x = 185,337 × 185,337
4. Step 4: Simplify right side
   80,068x = 34,349,803,569
5. Step 5: Solve for x
   x = 34,349,803,569/80,068
6. Step 6: Final answer
   x = 429,007.89