Finding the Third Proportional to 322,731 and 497,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,731 : 497,704.50 = 497,704.50 : x
2. Step 2: Convert to fraction form
   322,731/497,704.50 = 497,704.50/x
3. Step 3: Cross multiply
   322,731x = 497,704.50 × 497,704.50
4. Step 4: Simplify right side
   322,731x = 247,709,769,320.25
5. Step 5: Solve for x
   x = 247,709,769,320.25/322,731
6. Step 6: Final answer
   x = 767,542.53