Finding the Third Proportional to 181,584 and 280,034

Step by Step Solution

1. Step 1: Write the proportion equation
   181,584 : 280,034 = 280,034 : x
2. Step 2: Convert to fraction form
   181,584/280,034 = 280,034/x
3. Step 3: Cross multiply
   181,584x = 280,034 × 280,034
4. Step 4: Simplify right side
   181,584x = 78,419,041,156
5. Step 5: Solve for x
   x = 78,419,041,156/181,584
6. Step 6: Final answer
   x = 431,860.96