Finding the Third Proportional to 123,169 and 265,333

Step by Step Solution

1. Step 1: Write the proportion equation
   123,169 : 265,333 = 265,333 : x
2. Step 2: Convert to fraction form
   123,169/265,333 = 265,333/x
3. Step 3: Cross multiply
   123,169x = 265,333 × 265,333
4. Step 4: Simplify right side
   123,169x = 70,401,600,889
5. Step 5: Solve for x
   x = 70,401,600,889/123,169
6. Step 6: Final answer
   x = 571,585.39