Finding the Third Proportional to 127,200 and 186,912

Step by Step Solution

1. Step 1: Write the proportion equation
   127,200 : 186,912 = 186,912 : x
2. Step 2: Convert to fraction form
   127,200/186,912 = 186,912/x
3. Step 3: Cross multiply
   127,200x = 186,912 × 186,912
4. Step 4: Simplify right side
   127,200x = 34,936,095,744
5. Step 5: Solve for x
   x = 34,936,095,744/127,200
6. Step 6: Final answer
   x = 274,654.84