Finding the Third Proportional to 333,912 and 501,012

Step by Step Solution

1. Step 1: Write the proportion equation
   333,912 : 501,012 = 501,012 : x
2. Step 2: Convert to fraction form
   333,912/501,012 = 501,012/x
3. Step 3: Cross multiply
   333,912x = 501,012 × 501,012
4. Step 4: Simplify right side
   333,912x = 251,013,024,144
5. Step 5: Solve for x
   x = 251,013,024,144/333,912
6. Step 6: Final answer
   x = 751,734.06