Finding the Third Proportional to 123,132 and 265,260

Step by Step Solution

1. Step 1: Write the proportion equation
   123,132 : 265,260 = 265,260 : x
2. Step 2: Convert to fraction form
   123,132/265,260 = 265,260/x
3. Step 3: Cross multiply
   123,132x = 265,260 × 265,260
4. Step 4: Simplify right side
   123,132x = 70,362,867,600
5. Step 5: Solve for x
   x = 70,362,867,600/123,132
6. Step 6: Final answer
   x = 571,442.58