Finding the Third Proportional to 59,323 and 123,567

Step by Step Solution

1. Step 1: Write the proportion equation
   59,323 : 123,567 = 123,567 : x
2. Step 2: Convert to fraction form
   59,323/123,567 = 123,567/x
3. Step 3: Cross multiply
   59,323x = 123,567 × 123,567
4. Step 4: Simplify right side
   59,323x = 15,268,803,489
5. Step 5: Solve for x
   x = 15,268,803,489/59,323
6. Step 6: Final answer
   x = 257,384.21