Finding the Third Proportional to 123,776 and 188,740

Step by Step Solution

1. Step 1: Write the proportion equation
   123,776 : 188,740 = 188,740 : x
2. Step 2: Convert to fraction form
   123,776/188,740 = 188,740/x
3. Step 3: Cross multiply
   123,776x = 188,740 × 188,740
4. Step 4: Simplify right side
   123,776x = 35,622,787,600
5. Step 5: Solve for x
   x = 35,622,787,600/123,776
6. Step 6: Final answer
   x = 287,800.44