Finding the Third Proportional to 288,336 and 459,152

Step by Step Solution

1. Step 1: Write the proportion equation
   288,336 : 459,152 = 459,152 : x
2. Step 2: Convert to fraction form
   288,336/459,152 = 459,152/x
3. Step 3: Cross multiply
   288,336x = 459,152 × 459,152
4. Step 4: Simplify right side
   288,336x = 210,820,559,104
5. Step 5: Solve for x
   x = 210,820,559,104/288,336
6. Step 6: Final answer
   x = 731,162.81