Finding the Third Proportional to 196,863 and 421,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,863 : 421,609.50 = 421,609.50 : x
2. Step 2: Convert to fraction form
   196,863/421,609.50 = 421,609.50/x
3. Step 3: Cross multiply
   196,863x = 421,609.50 × 421,609.50
4. Step 4: Simplify right side
   196,863x = 177,754,570,490.25
5. Step 5: Solve for x
   x = 177,754,570,490.25/196,863
6. Step 6: Final answer
   x = 902,935.39