Finding the Third Proportional to 415,206 and 907,958.25

Step by Step Solution

1. Step 1: Write the proportion equation
   415,206 : 907,958.25 = 907,958.25 : x
2. Step 2: Convert to fraction form
   415,206/907,958.25 = 907,958.25/x
3. Step 3: Cross multiply
   415,206x = 907,958.25 × 907,958.25
4. Step 4: Simplify right side
   415,206x = 824,388,183,743.06
5. Step 5: Solve for x
   x = 824,388,183,743.06/415,206
6. Step 6: Final answer
   x = 1,985,491.98