Finding the Third Proportional to 212,238 and 465,300

Step by Step Solution

1. Step 1: Write the proportion equation
   212,238 : 465,300 = 465,300 : x
2. Step 2: Convert to fraction form
   212,238/465,300 = 465,300/x
3. Step 3: Cross multiply
   212,238x = 465,300 × 465,300
4. Step 4: Simplify right side
   212,238x = 216,504,090,000
5. Step 5: Solve for x
   x = 216,504,090,000/212,238
6. Step 6: Final answer
   x = 1,020,100.50