Finding the Third Proportional to 214,368 and 465,640

Step by Step Solution

1. Step 1: Write the proportion equation
   214,368 : 465,640 = 465,640 : x
2. Step 2: Convert to fraction form
   214,368/465,640 = 465,640/x
3. Step 3: Cross multiply
   214,368x = 465,640 × 465,640
4. Step 4: Simplify right side
   214,368x = 216,820,609,600
5. Step 5: Solve for x
   x = 216,820,609,600/214,368
6. Step 6: Final answer
   x = 1,011,441.12