Finding the Third Proportional to 123,157 and 265,306

Step by Step Solution

1. Step 1: Write the proportion equation
   123,157 : 265,306 = 265,306 : x
2. Step 2: Convert to fraction form
   123,157/265,306 = 265,306/x
3. Step 3: Cross multiply
   123,157x = 265,306 × 265,306
4. Step 4: Simplify right side
   123,157x = 70,387,273,636
5. Step 5: Solve for x
   x = 70,387,273,636/123,157
6. Step 6: Final answer
   x = 571,524.75