Finding the Third Proportional to 333,060 and 507,933

Step by Step Solution

1. Step 1: Write the proportion equation
   333,060 : 507,933 = 507,933 : x
2. Step 2: Convert to fraction form
   333,060/507,933 = 507,933/x
3. Step 3: Cross multiply
   333,060x = 507,933 × 507,933
4. Step 4: Simplify right side
   333,060x = 257,995,932,489
5. Step 5: Solve for x
   x = 257,995,932,489/333,060
6. Step 6: Final answer
   x = 774,622.99