Finding the Third Proportional to 323,738 and 507,850

Step by Step Solution

1. Step 1: Write the proportion equation
   323,738 : 507,850 = 507,850 : x
2. Step 2: Convert to fraction form
   323,738/507,850 = 507,850/x
3. Step 3: Cross multiply
   323,738x = 507,850 × 507,850
4. Step 4: Simplify right side
   323,738x = 257,911,622,500
5. Step 5: Solve for x
   x = 257,911,622,500/323,738
6. Step 6: Final answer
   x = 796,667.75