Finding the Third Proportional to 217,964 and 333,282

Step by Step Solution

1. Step 1: Write the proportion equation
   217,964 : 333,282 = 333,282 : x
2. Step 2: Convert to fraction form
   217,964/333,282 = 333,282/x
3. Step 3: Cross multiply
   217,964x = 333,282 × 333,282
4. Step 4: Simplify right side
   217,964x = 111,076,891,524
5. Step 5: Solve for x
   x = 111,076,891,524/217,964
6. Step 6: Final answer
   x = 509,611.18