Finding the Third Proportional to 137,769 and 288,003

Step by Step Solution

1. Step 1: Write the proportion equation
   137,769 : 288,003 = 288,003 : x
2. Step 2: Convert to fraction form
   137,769/288,003 = 288,003/x
3. Step 3: Cross multiply
   137,769x = 288,003 × 288,003
4. Step 4: Simplify right side
   137,769x = 82,945,728,009
5. Step 5: Solve for x
   x = 82,945,728,009/137,769
6. Step 6: Final answer
   x = 602,063.80