Finding the Third Proportional to 369,927 and 501,308

Step by Step Solution

1. Step 1: Write the proportion equation
   369,927 : 501,308 = 501,308 : x
2. Step 2: Convert to fraction form
   369,927/501,308 = 501,308/x
3. Step 3: Cross multiply
   369,927x = 501,308 × 501,308
4. Step 4: Simplify right side
   369,927x = 251,309,710,864
5. Step 5: Solve for x
   x = 251,309,710,864/369,927
6. Step 6: Final answer
   x = 679,349.47