Finding the Third Proportional to 123,147 and 265,941

Step by Step Solution

1. Step 1: Write the proportion equation
   123,147 : 265,941 = 265,941 : x
2. Step 2: Convert to fraction form
   123,147/265,941 = 265,941/x
3. Step 3: Cross multiply
   123,147x = 265,941 × 265,941
4. Step 4: Simplify right side
   123,147x = 70,724,615,481
5. Step 5: Solve for x
   x = 70,724,615,481/123,147
6. Step 6: Final answer
   x = 574,310.50