Finding the Third Proportional to 123,176 and 265,580

Step by Step Solution

1. Step 1: Write the proportion equation
   123,176 : 265,580 = 265,580 : x
2. Step 2: Convert to fraction form
   123,176/265,580 = 265,580/x
3. Step 3: Cross multiply
   123,176x = 265,580 × 265,580
4. Step 4: Simplify right side
   123,176x = 70,532,736,400
5. Step 5: Solve for x
   x = 70,532,736,400/123,176
6. Step 6: Final answer
   x = 572,617.53