Finding the Third Proportional to 214,370 and 465,644

Step by Step Solution

1. Step 1: Write the proportion equation
   214,370 : 465,644 = 465,644 : x
2. Step 2: Convert to fraction form
   214,370/465,644 = 465,644/x
3. Step 3: Cross multiply
   214,370x = 465,644 × 465,644
4. Step 4: Simplify right side
   214,370x = 216,824,334,736
5. Step 5: Solve for x
   x = 216,824,334,736/214,370
6. Step 6: Final answer
   x = 1,011,449.06