Finding the Third Proportional to 85,938 and 132,796

Step by Step Solution

1. Step 1: Write the proportion equation
   85,938 : 132,796 = 132,796 : x
2. Step 2: Convert to fraction form
   85,938/132,796 = 132,796/x
3. Step 3: Cross multiply
   85,938x = 132,796 × 132,796
4. Step 4: Simplify right side
   85,938x = 17,634,777,616
5. Step 5: Solve for x
   x = 17,634,777,616/85,938
6. Step 6: Final answer
   x = 205,203.49