Finding the Third Proportional to 243,364 and 363,020

Step by Step Solution

1. Step 1: Write the proportion equation
   243,364 : 363,020 = 363,020 : x
2. Step 2: Convert to fraction form
   243,364/363,020 = 363,020/x
3. Step 3: Cross multiply
   243,364x = 363,020 × 363,020
4. Step 4: Simplify right side
   243,364x = 131,783,520,400
5. Step 5: Solve for x
   x = 131,783,520,400/243,364
6. Step 6: Final answer
   x = 541,507.87