Finding the Third Proportional to 196,533 and 421,112.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196,533 : 421,112.25 = 421,112.25 : x
2. Step 2: Convert to fraction form
   196,533/421,112.25 = 421,112.25/x
3. Step 3: Cross multiply
   196,533x = 421,112.25 × 421,112.25
4. Step 4: Simplify right side
   196,533x = 177,335,527,100.06
5. Step 5: Solve for x
   x = 177,335,527,100.06/196,533
6. Step 6: Final answer
   x = 902,319.34