Finding the Third Proportional to 214,368 and 465,628

Step by Step Solution

1. Step 1: Write the proportion equation
   214,368 : 465,628 = 465,628 : x
2. Step 2: Convert to fraction form
   214,368/465,628 = 465,628/x
3. Step 3: Cross multiply
   214,368x = 465,628 × 465,628
4. Step 4: Simplify right side
   214,368x = 216,809,434,384
5. Step 5: Solve for x
   x = 216,809,434,384/214,368
6. Step 6: Final answer
   x = 1,011,388.99