Finding the Third Proportional to 214,716 and 467,502

Step by Step Solution

1. Step 1: Write the proportion equation
   214,716 : 467,502 = 467,502 : x
2. Step 2: Convert to fraction form
   214,716/467,502 = 467,502/x
3. Step 3: Cross multiply
   214,716x = 467,502 × 467,502
4. Step 4: Simplify right side
   214,716x = 218,558,120,004
5. Step 5: Solve for x
   x = 218,558,120,004/214,716
6. Step 6: Final answer
   x = 1,017,893.96