Finding the Third Proportional to 85,978 and 132,803

Step by Step Solution

1. Step 1: Write the proportion equation
   85,978 : 132,803 = 132,803 : x
2. Step 2: Convert to fraction form
   85,978/132,803 = 132,803/x
3. Step 3: Cross multiply
   85,978x = 132,803 × 132,803
4. Step 4: Simplify right side
   85,978x = 17,636,636,809
5. Step 5: Solve for x
   x = 17,636,636,809/85,978
6. Step 6: Final answer
   x = 205,129.65