Finding the Third Proportional to 123,284 and 264,046

Step by Step Solution

1. Step 1: Write the proportion equation
   123,284 : 264,046 = 264,046 : x
2. Step 2: Convert to fraction form
   123,284/264,046 = 264,046/x
3. Step 3: Cross multiply
   123,284x = 264,046 × 264,046
4. Step 4: Simplify right side
   123,284x = 69,720,290,116
5. Step 5: Solve for x
   x = 69,720,290,116/123,284
6. Step 6: Final answer
   x = 565,525.86