Finding the Third Proportional to 190,629 and 414,456.75

Step by Step Solution

1. Step 1: Write the proportion equation
   190,629 : 414,456.75 = 414,456.75 : x
2. Step 2: Convert to fraction form
   190,629/414,456.75 = 414,456.75/x
3. Step 3: Cross multiply
   190,629x = 414,456.75 × 414,456.75
4. Step 4: Simplify right side
   190,629x = 171,774,397,620.56
5. Step 5: Solve for x
   x = 171,774,397,620.56/190,629
6. Step 6: Final answer
   x = 901,092.69