Finding the Third Proportional to 509,057 and 748,003

Step by Step Solution

1. Step 1: Write the proportion equation
   509,057 : 748,003 = 748,003 : x
2. Step 2: Convert to fraction form
   509,057/748,003 = 748,003/x
3. Step 3: Cross multiply
   509,057x = 748,003 × 748,003
4. Step 4: Simplify right side
   509,057x = 559,508,488,009
5. Step 5: Solve for x
   x = 559,508,488,009/509,057
6. Step 6: Final answer
   x = 1,099,107.74