Finding the Third Proportional to 127,209 and 186,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,209 : 186,923.50 = 186,923.50 : x
2. Step 2: Convert to fraction form
   127,209/186,923.50 = 186,923.50/x
3. Step 3: Cross multiply
   127,209x = 186,923.50 × 186,923.50
4. Step 4: Simplify right side
   127,209x = 34,940,394,852.25
5. Step 5: Solve for x
   x = 34,940,394,852.25/127,209
6. Step 6: Final answer
   x = 274,669.20