Finding the Third Proportional to 323,633 and 502,490

Step by Step Solution

1. Step 1: Write the proportion equation
   323,633 : 502,490 = 502,490 : x
2. Step 2: Convert to fraction form
   323,633/502,490 = 502,490/x
3. Step 3: Cross multiply
   323,633x = 502,490 × 502,490
4. Step 4: Simplify right side
   323,633x = 252,496,200,100
5. Step 5: Solve for x
   x = 252,496,200,100/323,633
6. Step 6: Final answer
   x = 780,193.00