Finding the Third Proportional to 123,186 and 261,924

Step by Step Solution

1. Step 1: Write the proportion equation
   123,186 : 261,924 = 261,924 : x
2. Step 2: Convert to fraction form
   123,186/261,924 = 261,924/x
3. Step 3: Cross multiply
   123,186x = 261,924 × 261,924
4. Step 4: Simplify right side
   123,186x = 68,604,181,776
5. Step 5: Solve for x
   x = 68,604,181,776/123,186
6. Step 6: Final answer
   x = 556,915.41