Finding the Third Proportional to 210,596 and 497,144

Step by Step Solution

1. Step 1: Write the proportion equation
   210,596 : 497,144 = 497,144 : x
2. Step 2: Convert to fraction form
   210,596/497,144 = 497,144/x
3. Step 3: Cross multiply
   210,596x = 497,144 × 497,144
4. Step 4: Simplify right side
   210,596x = 247,152,156,736
5. Step 5: Solve for x
   x = 247,152,156,736/210,596
6. Step 6: Final answer
   x = 1,173,584.29