Finding the Third Proportional to 123,616 and 265,848

Step by Step Solution

1. Step 1: Write the proportion equation
   123,616 : 265,848 = 265,848 : x
2. Step 2: Convert to fraction form
   123,616/265,848 = 265,848/x
3. Step 3: Cross multiply
   123,616x = 265,848 × 265,848
4. Step 4: Simplify right side
   123,616x = 70,675,159,104
5. Step 5: Solve for x
   x = 70,675,159,104/123,616
6. Step 6: Final answer
   x = 571,731.48