Finding the Third Proportional to 123,471 and 187,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,471 : 187,870.50 = 187,870.50 : x
2. Step 2: Convert to fraction form
   123,471/187,870.50 = 187,870.50/x
3. Step 3: Cross multiply
   123,471x = 187,870.50 × 187,870.50
4. Step 4: Simplify right side
   123,471x = 35,295,324,770.25
5. Step 5: Solve for x
   x = 35,295,324,770.25/123,471
6. Step 6: Final answer
   x = 285,859.23