Finding the Third Proportional to 188,784 and 280,620

Step by Step Solution

1. Step 1: Write the proportion equation
   188,784 : 280,620 = 280,620 : x
2. Step 2: Convert to fraction form
   188,784/280,620 = 280,620/x
3. Step 3: Cross multiply
   188,784x = 280,620 × 280,620
4. Step 4: Simplify right side
   188,784x = 78,747,584,400
5. Step 5: Solve for x
   x = 78,747,584,400/188,784
6. Step 6: Final answer
   x = 417,130.61