Finding the Third Proportional to 123,366 and 268,926

Step by Step Solution

1. Step 1: Write the proportion equation
   123,366 : 268,926 = 268,926 : x
2. Step 2: Convert to fraction form
   123,366/268,926 = 268,926/x
3. Step 3: Cross multiply
   123,366x = 268,926 × 268,926
4. Step 4: Simplify right side
   123,366x = 72,321,193,476
5. Step 5: Solve for x
   x = 72,321,193,476/123,366
6. Step 6: Final answer
   x = 586,232.78