Finding the Third Proportional to 123,947 and 268,501

Step by Step Solution

1. Step 1: Write the proportion equation
   123,947 : 268,501 = 268,501 : x
2. Step 2: Convert to fraction form
   123,947/268,501 = 268,501/x
3. Step 3: Cross multiply
   123,947x = 268,501 × 268,501
4. Step 4: Simplify right side
   123,947x = 72,092,787,001
5. Step 5: Solve for x
   x = 72,092,787,001/123,947
6. Step 6: Final answer
   x = 581,642.05