Finding the Third Proportional to 216,565 and 333,300

Step by Step Solution

1. Step 1: Write the proportion equation
   216,565 : 333,300 = 333,300 : x
2. Step 2: Convert to fraction form
   216,565/333,300 = 333,300/x
3. Step 3: Cross multiply
   216,565x = 333,300 × 333,300
4. Step 4: Simplify right side
   216,565x = 111,088,890,000
5. Step 5: Solve for x
   x = 111,088,890,000/216,565
6. Step 6: Final answer
   x = 512,958.65