Finding the Third Proportional to 123,155 and 265,539

Step by Step Solution

1. Step 1: Write the proportion equation
   123,155 : 265,539 = 265,539 : x
2. Step 2: Convert to fraction form
   123,155/265,539 = 265,539/x
3. Step 3: Cross multiply
   123,155x = 265,539 × 265,539
4. Step 4: Simplify right side
   123,155x = 70,510,960,521
5. Step 5: Solve for x
   x = 70,510,960,521/123,155
6. Step 6: Final answer
   x = 572,538.35