Finding the Third Proportional to 333,172 and 512,502

Step by Step Solution

1. Step 1: Write the proportion equation
   333,172 : 512,502 = 512,502 : x
2. Step 2: Convert to fraction form
   333,172/512,502 = 512,502/x
3. Step 3: Cross multiply
   333,172x = 512,502 × 512,502
4. Step 4: Simplify right side
   333,172x = 262,658,300,004
5. Step 5: Solve for x
   x = 262,658,300,004/333,172
6. Step 6: Final answer
   x = 788,356.46