Finding the Third Proportional to 123,616 and 265,868

Step by Step Solution

1. Step 1: Write the proportion equation
   123,616 : 265,868 = 265,868 : x
2. Step 2: Convert to fraction form
   123,616/265,868 = 265,868/x
3. Step 3: Cross multiply
   123,616x = 265,868 × 265,868
4. Step 4: Simplify right side
   123,616x = 70,685,793,424
5. Step 5: Solve for x
   x = 70,685,793,424/123,616
6. Step 6: Final answer
   x = 571,817.51