Finding the Third Proportional to 300,194.50 and 422,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,194.50 : 422,211.50 = 422,211.50 : x
2. Step 2: Convert to fraction form
   300,194.50/422,211.50 = 422,211.50/x
3. Step 3: Cross multiply
   300,194.50x = 422,211.50 × 422,211.50
4. Step 4: Simplify right side
   300,194.50x = 178,262,550,732.25
5. Step 5: Solve for x
   x = 178,262,550,732.25/300,194.50
6. Step 6: Final answer
   x = 593,823.51