Finding the Third Proportional to 279,747 and 421,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   279,747 : 421,951.50 = 421,951.50 : x
2. Step 2: Convert to fraction form
   279,747/421,951.50 = 421,951.50/x
3. Step 3: Cross multiply
   279,747x = 421,951.50 × 421,951.50
4. Step 4: Simplify right side
   279,747x = 178,043,068,352.25
5. Step 5: Solve for x
   x = 178,043,068,352.25/279,747
6. Step 6: Final answer
   x = 636,443.17