Finding the Third Proportional to 127,620 and 187,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,620 : 187,744.50 = 187,744.50 : x
2. Step 2: Convert to fraction form
   127,620/187,744.50 = 187,744.50/x
3. Step 3: Cross multiply
   127,620x = 187,744.50 × 187,744.50
4. Step 4: Simplify right side
   127,620x = 35,247,997,280.25
5. Step 5: Solve for x
   x = 35,247,997,280.25/127,620
6. Step 6: Final answer
   x = 276,194.93