Finding the Third Proportional to 123,283 and 265,293

Step by Step Solution

1. Step 1: Write the proportion equation
   123,283 : 265,293 = 265,293 : x
2. Step 2: Convert to fraction form
   123,283/265,293 = 265,293/x
3. Step 3: Cross multiply
   123,283x = 265,293 × 265,293
4. Step 4: Simplify right side
   123,283x = 70,380,375,849
5. Step 5: Solve for x
   x = 70,380,375,849/123,283
6. Step 6: Final answer
   x = 570,884.68