Finding the Third Proportional to 333,264 and 508,152

Step by Step Solution

1. Step 1: Write the proportion equation
   333,264 : 508,152 = 508,152 : x
2. Step 2: Convert to fraction form
   333,264/508,152 = 508,152/x
3. Step 3: Cross multiply
   333,264x = 508,152 × 508,152
4. Step 4: Simplify right side
   333,264x = 258,218,455,104
5. Step 5: Solve for x
   x = 258,218,455,104/333,264
6. Step 6: Final answer
   x = 774,816.53