Finding the Third Proportional to 123,151 and 265,947

Step by Step Solution

1. Step 1: Write the proportion equation
   123,151 : 265,947 = 265,947 : x
2. Step 2: Convert to fraction form
   123,151/265,947 = 265,947/x
3. Step 3: Cross multiply
   123,151x = 265,947 × 265,947
4. Step 4: Simplify right side
   123,151x = 70,727,806,809
5. Step 5: Solve for x
   x = 70,727,806,809/123,151
6. Step 6: Final answer
   x = 574,317.76