Finding the Third Proportional to 127,154 and 186,836

Step by Step Solution

1. Step 1: Write the proportion equation
   127,154 : 186,836 = 186,836 : x
2. Step 2: Convert to fraction form
   127,154/186,836 = 186,836/x
3. Step 3: Cross multiply
   127,154x = 186,836 × 186,836
4. Step 4: Simplify right side
   127,154x = 34,907,690,896
5. Step 5: Solve for x
   x = 34,907,690,896/127,154
6. Step 6: Final answer
   x = 274,530.81