Finding the Third Proportional to 243,357 and 363,012

Step by Step Solution

1. Step 1: Write the proportion equation
   243,357 : 363,012 = 363,012 : x
2. Step 2: Convert to fraction form
   243,357/363,012 = 363,012/x
3. Step 3: Cross multiply
   243,357x = 363,012 × 363,012
4. Step 4: Simplify right side
   243,357x = 131,777,712,144
5. Step 5: Solve for x
   x = 131,777,712,144/243,357
6. Step 6: Final answer
   x = 541,499.58