Finding the Third Proportional to 123,154 and 265,538

Step by Step Solution

1. Step 1: Write the proportion equation
   123,154 : 265,538 = 265,538 : x
2. Step 2: Convert to fraction form
   123,154/265,538 = 265,538/x
3. Step 3: Cross multiply
   123,154x = 265,538 × 265,538
4. Step 4: Simplify right side
   123,154x = 70,510,429,444
5. Step 5: Solve for x
   x = 70,510,429,444/123,154
6. Step 6: Final answer
   x = 572,538.69