Finding the Third Proportional to 123,927 and 187,053

Step by Step Solution

1. Step 1: Write the proportion equation
   123,927 : 187,053 = 187,053 : x
2. Step 2: Convert to fraction form
   123,927/187,053 = 187,053/x
3. Step 3: Cross multiply
   123,927x = 187,053 × 187,053
4. Step 4: Simplify right side
   123,927x = 34,988,824,809
5. Step 5: Solve for x
   x = 34,988,824,809/123,927
6. Step 6: Final answer
   x = 282,334.15