Finding the Third Proportional to 127,606 and 278,172

Step by Step Solution

1. Step 1: Write the proportion equation
   127,606 : 278,172 = 278,172 : x
2. Step 2: Convert to fraction form
   127,606/278,172 = 278,172/x
3. Step 3: Cross multiply
   127,606x = 278,172 × 278,172
4. Step 4: Simplify right side
   127,606x = 77,379,661,584
5. Step 5: Solve for x
   x = 77,379,661,584/127,606
6. Step 6: Final answer
   x = 606,395.17