Finding the Third Proportional to 123,524 and 188,441

Step by Step Solution

1. Step 1: Write the proportion equation
   123,524 : 188,441 = 188,441 : x
2. Step 2: Convert to fraction form
   123,524/188,441 = 188,441/x
3. Step 3: Cross multiply
   123,524x = 188,441 × 188,441
4. Step 4: Simplify right side
   123,524x = 35,510,010,481
5. Step 5: Solve for x
   x = 35,510,010,481/123,524
6. Step 6: Final answer
   x = 287,474.58