Finding the Third Proportional to 322,924 and 498,012

Step by Step Solution

1. Step 1: Write the proportion equation
   322,924 : 498,012 = 498,012 : x
2. Step 2: Convert to fraction form
   322,924/498,012 = 498,012/x
3. Step 3: Cross multiply
   322,924x = 498,012 × 498,012
4. Step 4: Simplify right side
   322,924x = 248,015,952,144
5. Step 5: Solve for x
   x = 248,015,952,144/322,924
6. Step 6: Final answer
   x = 768,031.96