Finding the Third Proportional to 127,026 and 274,140

Step by Step Solution

1. Step 1: Write the proportion equation
   127,026 : 274,140 = 274,140 : x
2. Step 2: Convert to fraction form
   127,026/274,140 = 274,140/x
3. Step 3: Cross multiply
   127,026x = 274,140 × 274,140
4. Step 4: Simplify right side
   127,026x = 75,152,739,600
5. Step 5: Solve for x
   x = 75,152,739,600/127,026
6. Step 6: Final answer
   x = 591,632.73