Finding the Third Proportional to 417,856.50 and 902,214

Step by Step Solution

1. Step 1: Write the proportion equation
   417,856.50 : 902,214 = 902,214 : x
2. Step 2: Convert to fraction form
   417,856.50/902,214 = 902,214/x
3. Step 3: Cross multiply
   417,856.50x = 902,214 × 902,214
4. Step 4: Simplify right side
   417,856.50x = 813,990,101,796
5. Step 5: Solve for x
   x = 813,990,101,796/417,856.50
6. Step 6: Final answer
   x = 1,948,013.50