Finding the Third Proportional to 127,584 and 274,122

Step by Step Solution

1. Step 1: Write the proportion equation
   127,584 : 274,122 = 274,122 : x
2. Step 2: Convert to fraction form
   127,584/274,122 = 274,122/x
3. Step 3: Cross multiply
   127,584x = 274,122 × 274,122
4. Step 4: Simplify right side
   127,584x = 75,142,870,884
5. Step 5: Solve for x
   x = 75,142,870,884/127,584
6. Step 6: Final answer
   x = 588,967.82