Finding the Third Proportional to 123,614 and 265,864

Step by Step Solution

1. Step 1: Write the proportion equation
   123,614 : 265,864 = 265,864 : x
2. Step 2: Convert to fraction form
   123,614/265,864 = 265,864/x
3. Step 3: Cross multiply
   123,614x = 265,864 × 265,864
4. Step 4: Simplify right side
   123,614x = 70,683,666,496
5. Step 5: Solve for x
   x = 70,683,666,496/123,614
6. Step 6: Final answer
   x = 571,809.56