Finding the Third Proportional to 214,018 and 463,702

Step by Step Solution

1. Step 1: Write the proportion equation
   214,018 : 463,702 = 463,702 : x
2. Step 2: Convert to fraction form
   214,018/463,702 = 463,702/x
3. Step 3: Cross multiply
   214,018x = 463,702 × 463,702
4. Step 4: Simplify right side
   214,018x = 215,019,544,804
5. Step 5: Solve for x
   x = 215,019,544,804/214,018
6. Step 6: Final answer
   x = 1,004,679.72