Finding the Third Proportional to 127,026 and 186,738

Step by Step Solution

1. Step 1: Write the proportion equation
   127,026 : 186,738 = 186,738 : x
2. Step 2: Convert to fraction form
   127,026/186,738 = 186,738/x
3. Step 3: Cross multiply
   127,026x = 186,738 × 186,738
4. Step 4: Simplify right side
   127,026x = 34,871,080,644
5. Step 5: Solve for x
   x = 34,871,080,644/127,026
6. Step 6: Final answer
   x = 274,519.24