Finding the Third Proportional to 123,380 and 264,280

Step by Step Solution

1. Step 1: Write the proportion equation
   123,380 : 264,280 = 264,280 : x
2. Step 2: Convert to fraction form
   123,380/264,280 = 264,280/x
3. Step 3: Cross multiply
   123,380x = 264,280 × 264,280
4. Step 4: Simplify right side
   123,380x = 69,843,918,400
5. Step 5: Solve for x
   x = 69,843,918,400/123,380
6. Step 6: Final answer
   x = 566,087.85