Finding the Third Proportional to 123,513 and 188,424

Step by Step Solution

1. Step 1: Write the proportion equation
   123,513 : 188,424 = 188,424 : x
2. Step 2: Convert to fraction form
   123,513/188,424 = 188,424/x
3. Step 3: Cross multiply
   123,513x = 188,424 × 188,424
4. Step 4: Simplify right side
   123,513x = 35,503,603,776
5. Step 5: Solve for x
   x = 35,503,603,776/123,513
6. Step 6: Final answer
   x = 287,448.32