Finding the Third Proportional to 509,451.75 and 749,412.56

Step by Step Solution

1. Step 1: Write the proportion equation
   509,451.75 : 749,412.56 = 749,412.56 : x
2. Step 2: Convert to fraction form
   509,451.75/749,412.56 = 749,412.56/x
3. Step 3: Cross multiply
   509,451.75x = 749,412.56 × 749,412.56
4. Step 4: Simplify right side
   509,451.75x = 561,619,188,832.82
5. Step 5: Solve for x
   x = 561,619,188,832.82/509,451.75
6. Step 6: Final answer
   x = 1,102,399.17