Finding the Third Proportional to 217,952 and 333,264

Step by Step Solution

1. Step 1: Write the proportion equation
   217,952 : 333,264 = 333,264 : x
2. Step 2: Convert to fraction form
   217,952/333,264 = 333,264/x
3. Step 3: Cross multiply
   217,952x = 333,264 × 333,264
4. Step 4: Simplify right side
   217,952x = 111,064,893,696
5. Step 5: Solve for x
   x = 111,064,893,696/217,952
6. Step 6: Final answer
   x = 509,584.19