Finding the Third Proportional to 123,369 and 263,364

Step by Step Solution

1. Step 1: Write the proportion equation
   123,369 : 263,364 = 263,364 : x
2. Step 2: Convert to fraction form
   123,369/263,364 = 263,364/x
3. Step 3: Cross multiply
   123,369x = 263,364 × 263,364
4. Step 4: Simplify right side
   123,369x = 69,360,596,496
5. Step 5: Solve for x
   x = 69,360,596,496/123,369
6. Step 6: Final answer
   x = 562,220.63