Finding the Third Proportional to 323,730.50 and 507,838

Step by Step Solution

1. Step 1: Write the proportion equation
   323,730.50 : 507,838 = 507,838 : x
2. Step 2: Convert to fraction form
   323,730.50/507,838 = 507,838/x
3. Step 3: Cross multiply
   323,730.50x = 507,838 × 507,838
4. Step 4: Simplify right side
   323,730.50x = 257,899,434,244
5. Step 5: Solve for x
   x = 257,899,434,244/323,730.50
6. Step 6: Final answer
   x = 796,648.55