Finding the Third Proportional to 82,026 and 126,501

Step by Step Solution

1. Step 1: Write the proportion equation
   82,026 : 126,501 = 126,501 : x
2. Step 2: Convert to fraction form
   82,026/126,501 = 126,501/x
3. Step 3: Cross multiply
   82,026x = 126,501 × 126,501
4. Step 4: Simplify right side
   82,026x = 16,002,503,001
5. Step 5: Solve for x
   x = 16,002,503,001/82,026
6. Step 6: Final answer
   x = 195,090.62