Finding the Third Proportional to 214,856 and 466,624

Step by Step Solution

1. Step 1: Write the proportion equation
   214,856 : 466,624 = 466,624 : x
2. Step 2: Convert to fraction form
   214,856/466,624 = 466,624/x
3. Step 3: Cross multiply
   214,856x = 466,624 × 466,624
4. Step 4: Simplify right side
   214,856x = 217,737,957,376
5. Step 5: Solve for x
   x = 217,737,957,376/214,856
6. Step 6: Final answer
   x = 1,013,413.44