Finding the Third Proportional to 243,225 and 388,546

Step by Step Solution

1. Step 1: Write the proportion equation
   243,225 : 388,546 = 388,546 : x
2. Step 2: Convert to fraction form
   243,225/388,546 = 388,546/x
3. Step 3: Cross multiply
   243,225x = 388,546 × 388,546
4. Step 4: Simplify right side
   243,225x = 150,967,994,116
5. Step 5: Solve for x
   x = 150,967,994,116/243,225
6. Step 6: Final answer
   x = 620,692.75