Finding the Third Proportional to 123,154 and 265,142

Step by Step Solution

1. Step 1: Write the proportion equation
   123,154 : 265,142 = 265,142 : x
2. Step 2: Convert to fraction form
   123,154/265,142 = 265,142/x
3. Step 3: Cross multiply
   123,154x = 265,142 × 265,142
4. Step 4: Simplify right side
   123,154x = 70,300,280,164
5. Step 5: Solve for x
   x = 70,300,280,164/123,154
6. Step 6: Final answer
   x = 570,832.29