Finding the Third Proportional to 59,326 and 123,572

Step by Step Solution

1. Step 1: Write the proportion equation
   59,326 : 123,572 = 123,572 : x
2. Step 2: Convert to fraction form
   59,326/123,572 = 123,572/x
3. Step 3: Cross multiply
   59,326x = 123,572 × 123,572
4. Step 4: Simplify right side
   59,326x = 15,270,039,184
5. Step 5: Solve for x
   x = 15,270,039,184/59,326
6. Step 6: Final answer
   x = 257,392.02