Finding the Third Proportional to 127,185 and 187,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,185 : 187,078.50 = 187,078.50 : x
2. Step 2: Convert to fraction form
   127,185/187,078.50 = 187,078.50/x
3. Step 3: Cross multiply
   127,185x = 187,078.50 × 187,078.50
4. Step 4: Simplify right side
   127,185x = 34,998,365,162.25
5. Step 5: Solve for x
   x = 34,998,365,162.25/127,185
6. Step 6: Final answer
   x = 275,176.83