Finding the Third Proportional to 123,464 and 186,924

Step by Step Solution

1. Step 1: Write the proportion equation
   123,464 : 186,924 = 186,924 : x
2. Step 2: Convert to fraction form
   123,464/186,924 = 186,924/x
3. Step 3: Cross multiply
   123,464x = 186,924 × 186,924
4. Step 4: Simplify right side
   123,464x = 34,940,581,776
5. Step 5: Solve for x
   x = 34,940,581,776/123,464
6. Step 6: Final answer
   x = 283,002.19