Finding the Third Proportional to 56,623 and 123,074

Step by Step Solution

1. Step 1: Write the proportion equation
   56,623 : 123,074 = 123,074 : x
2. Step 2: Convert to fraction form
   56,623/123,074 = 123,074/x
3. Step 3: Cross multiply
   56,623x = 123,074 × 123,074
4. Step 4: Simplify right side
   56,623x = 15,147,209,476
5. Step 5: Solve for x
   x = 15,147,209,476/56,623
6. Step 6: Final answer
   x = 267,509.84