Finding the Third Proportional to 188,644 and 280,402.75

Step by Step Solution

1. Step 1: Write the proportion equation
   188,644 : 280,402.75 = 280,402.75 : x
2. Step 2: Convert to fraction form
   188,644/280,402.75 = 280,402.75/x
3. Step 3: Cross multiply
   188,644x = 280,402.75 × 280,402.75
4. Step 4: Simplify right side
   188,644x = 78,625,702,207.56
5. Step 5: Solve for x
   x = 78,625,702,207.56/188,644
6. Step 6: Final answer
   x = 416,794.08