Finding the Third Proportional to 185,818 and 280,468

Step by Step Solution

1. Step 1: Write the proportion equation
   185,818 : 280,468 = 280,468 : x
2. Step 2: Convert to fraction form
   185,818/280,468 = 280,468/x
3. Step 3: Cross multiply
   185,818x = 280,468 × 280,468
4. Step 4: Simplify right side
   185,818x = 78,662,299,024
5. Step 5: Solve for x
   x = 78,662,299,024/185,818
6. Step 6: Final answer
   x = 423,329.81