Finding the Third Proportional to 127,046 and 278,986

Step by Step Solution

1. Step 1: Write the proportion equation
   127,046 : 278,986 = 278,986 : x
2. Step 2: Convert to fraction form
   127,046/278,986 = 278,986/x
3. Step 3: Cross multiply
   127,046x = 278,986 × 278,986
4. Step 4: Simplify right side
   127,046x = 77,833,188,196
5. Step 5: Solve for x
   x = 77,833,188,196/127,046
6. Step 6: Final answer
   x = 612,637.85