Finding the Third Proportional to 333,046 and 507,912

Step by Step Solution

1. Step 1: Write the proportion equation
   333,046 : 507,912 = 507,912 : x
2. Step 2: Convert to fraction form
   333,046/507,912 = 507,912/x
3. Step 3: Cross multiply
   333,046x = 507,912 × 507,912
4. Step 4: Simplify right side
   333,046x = 257,974,599,744
5. Step 5: Solve for x
   x = 257,974,599,744/333,046
6. Step 6: Final answer
   x = 774,591.50