Finding the Third Proportional to 127,227 and 186,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,227 : 186,952.50 = 186,952.50 : x
2. Step 2: Convert to fraction form
   127,227/186,952.50 = 186,952.50/x
3. Step 3: Cross multiply
   127,227x = 186,952.50 × 186,952.50
4. Step 4: Simplify right side
   127,227x = 34,951,237,256.25
5. Step 5: Solve for x
   x = 34,951,237,256.25/127,227
6. Step 6: Final answer
   x = 274,715.57