Finding the Third Proportional to 333,054 and 507,924

Step by Step Solution

1. Step 1: Write the proportion equation
   333,054 : 507,924 = 507,924 : x
2. Step 2: Convert to fraction form
   333,054/507,924 = 507,924/x
3. Step 3: Cross multiply
   333,054x = 507,924 × 507,924
4. Step 4: Simplify right side
   333,054x = 257,986,789,776
5. Step 5: Solve for x
   x = 257,986,789,776/333,054
6. Step 6: Final answer
   x = 774,609.49