Finding the Third Proportional to 300,183 and 422,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,183 : 422,194.50 = 422,194.50 : x
2. Step 2: Convert to fraction form
   300,183/422,194.50 = 422,194.50/x
3. Step 3: Cross multiply
   300,183x = 422,194.50 × 422,194.50
4. Step 4: Simplify right side
   300,183x = 178,248,195,830.25
5. Step 5: Solve for x
   x = 178,248,195,830.25/300,183
6. Step 6: Final answer
   x = 593,798.44