Finding the Third Proportional to 123,147 and 265,974

Step by Step Solution

1. Step 1: Write the proportion equation
   123,147 : 265,974 = 265,974 : x
2. Step 2: Convert to fraction form
   123,147/265,974 = 265,974/x
3. Step 3: Cross multiply
   123,147x = 265,974 × 265,974
4. Step 4: Simplify right side
   123,147x = 70,742,168,676
5. Step 5: Solve for x
   x = 70,742,168,676/123,147
6. Step 6: Final answer
   x = 574,453.04