Finding the Third Proportional to 354,301 and 538,012

Step by Step Solution

1. Step 1: Write the proportion equation
   354,301 : 538,012 = 538,012 : x
2. Step 2: Convert to fraction form
   354,301/538,012 = 538,012/x
3. Step 3: Cross multiply
   354,301x = 538,012 × 538,012
4. Step 4: Simplify right side
   354,301x = 289,456,912,144
5. Step 5: Solve for x
   x = 289,456,912,144/354,301
6. Step 6: Final answer
   x = 816,980.23