Finding the Third Proportional to 85,968 and 132,786

Step by Step Solution

1. Step 1: Write the proportion equation
   85,968 : 132,786 = 132,786 : x
2. Step 2: Convert to fraction form
   85,968/132,786 = 132,786/x
3. Step 3: Cross multiply
   85,968x = 132,786 × 132,786
4. Step 4: Simplify right side
   85,968x = 17,632,121,796
5. Step 5: Solve for x
   x = 17,632,121,796/85,968
6. Step 6: Final answer
   x = 205,100.99