Finding the Third Proportional to 123,023 and 161,540

Step by Step Solution

1. Step 1: Write the proportion equation
   123,023 : 161,540 = 161,540 : x
2. Step 2: Convert to fraction form
   123,023/161,540 = 161,540/x
3. Step 3: Cross multiply
   123,023x = 161,540 × 161,540
4. Step 4: Simplify right side
   123,023x = 26,095,171,600
5. Step 5: Solve for x
   x = 26,095,171,600/123,023
6. Step 6: Final answer
   x = 212,116.20