Finding the Third Proportional to 123,148 and 265,944

Step by Step Solution

1. Step 1: Write the proportion equation
   123,148 : 265,944 = 265,944 : x
2. Step 2: Convert to fraction form
   123,148/265,944 = 265,944/x
3. Step 3: Cross multiply
   123,148x = 265,944 × 265,944
4. Step 4: Simplify right side
   123,148x = 70,726,211,136
5. Step 5: Solve for x
   x = 70,726,211,136/123,148
6. Step 6: Final answer
   x = 574,318.80