Finding the Third Proportional to 123,336 and 264,168

Step by Step Solution

1. Step 1: Write the proportion equation
   123,336 : 264,168 = 264,168 : x
2. Step 2: Convert to fraction form
   123,336/264,168 = 264,168/x
3. Step 3: Cross multiply
   123,336x = 264,168 × 264,168
4. Step 4: Simplify right side
   123,336x = 69,784,732,224
5. Step 5: Solve for x
   x = 69,784,732,224/123,336
6. Step 6: Final answer
   x = 565,809.92