Finding the Third Proportional to 214,848 and 466,608

Step by Step Solution

1. Step 1: Write the proportion equation
   214,848 : 466,608 = 466,608 : x
2. Step 2: Convert to fraction form
   214,848/466,608 = 466,608/x
3. Step 3: Cross multiply
   214,848x = 466,608 × 466,608
4. Step 4: Simplify right side
   214,848x = 217,723,025,664
5. Step 5: Solve for x
   x = 217,723,025,664/214,848
6. Step 6: Final answer
   x = 1,013,381.67