Finding the Third Proportional to 127,848 and 278,004

Step by Step Solution

1. Step 1: Write the proportion equation
   127,848 : 278,004 = 278,004 : x
2. Step 2: Convert to fraction form
   127,848/278,004 = 278,004/x
3. Step 3: Cross multiply
   127,848x = 278,004 × 278,004
4. Step 4: Simplify right side
   127,848x = 77,286,224,016
5. Step 5: Solve for x
   x = 77,286,224,016/127,848
6. Step 6: Final answer
   x = 604,516.49