Finding the Third Proportional to 127,834 and 278,738

Step by Step Solution

1. Step 1: Write the proportion equation
   127,834 : 278,738 = 278,738 : x
2. Step 2: Convert to fraction form
   127,834/278,738 = 278,738/x
3. Step 3: Cross multiply
   127,834x = 278,738 × 278,738
4. Step 4: Simplify right side
   127,834x = 77,694,872,644
5. Step 5: Solve for x
   x = 77,694,872,644/127,834
6. Step 6: Final answer
   x = 607,779.41