Finding the Third Proportional to 82,110 and 126,789

Step by Step Solution

1. Step 1: Write the proportion equation
   82,110 : 126,789 = 126,789 : x
2. Step 2: Convert to fraction form
   82,110/126,789 = 126,789/x
3. Step 3: Cross multiply
   82,110x = 126,789 × 126,789
4. Step 4: Simplify right side
   82,110x = 16,075,450,521
5. Step 5: Solve for x
   x = 16,075,450,521/82,110
6. Step 6: Final answer
   x = 195,779.45