Finding the Third Proportional to 372,441 and 502,996

Step by Step Solution

1. Step 1: Write the proportion equation
   372,441 : 502,996 = 502,996 : x
2. Step 2: Convert to fraction form
   372,441/502,996 = 502,996/x
3. Step 3: Cross multiply
   372,441x = 502,996 × 502,996
4. Step 4: Simplify right side
   372,441x = 253,004,976,016
5. Step 5: Solve for x
   x = 253,004,976,016/372,441
6. Step 6: Final answer
   x = 679,315.59