Finding the Third Proportional to 214,560 and 465,264

Step by Step Solution

1. Step 1: Write the proportion equation
   214,560 : 465,264 = 465,264 : x
2. Step 2: Convert to fraction form
   214,560/465,264 = 465,264/x
3. Step 3: Cross multiply
   214,560x = 465,264 × 465,264
4. Step 4: Simplify right side
   214,560x = 216,470,589,696
5. Step 5: Solve for x
   x = 216,470,589,696/214,560
6. Step 6: Final answer
   x = 1,008,904.69