Finding the Third Proportional to 419,715 and 906,439.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,715 : 906,439.50 = 906,439.50 : x
2. Step 2: Convert to fraction form
   419,715/906,439.50 = 906,439.50/x
3. Step 3: Cross multiply
   419,715x = 906,439.50 × 906,439.50
4. Step 4: Simplify right side
   419,715x = 821,632,567,160.25
5. Step 5: Solve for x
   x = 821,632,567,160.25/419,715
6. Step 6: Final answer
   x = 1,957,596.39