Finding the Third Proportional to 287,227 and 402,495.75

Step by Step Solution

1. Step 1: Write the proportion equation
   287,227 : 402,495.75 = 402,495.75 : x
2. Step 2: Convert to fraction form
   287,227/402,495.75 = 402,495.75/x
3. Step 3: Cross multiply
   287,227x = 402,495.75 × 402,495.75
4. Step 4: Simplify right side
   287,227x = 162,002,828,768.06
5. Step 5: Solve for x
   x = 162,002,828,768.06/287,227
6. Step 6: Final answer
   x = 564,023.68