Finding the Third Proportional to 307,137 and 465,003

Step by Step Solution

1. Step 1: Write the proportion equation
   307,137 : 465,003 = 465,003 : x
2. Step 2: Convert to fraction form
   307,137/465,003 = 465,003/x
3. Step 3: Cross multiply
   307,137x = 465,003 × 465,003
4. Step 4: Simplify right side
   307,137x = 216,227,790,009
5. Step 5: Solve for x
   x = 216,227,790,009/307,137
6. Step 6: Final answer
   x = 704,010.88