Finding the Third Proportional to 196,844 and 305,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,844 : 305,382.50 = 305,382.50 : x
2. Step 2: Convert to fraction form
   196,844/305,382.50 = 305,382.50/x
3. Step 3: Cross multiply
   196,844x = 305,382.50 × 305,382.50
4. Step 4: Simplify right side
   196,844x = 93,258,471,306.25
5. Step 5: Solve for x
   x = 93,258,471,306.25/196,844
6. Step 6: Final answer
   x = 473,768.42