Finding the Third Proportional to 85,951 and 132,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,951 : 132,814.50 = 132,814.50 : x
2. Step 2: Convert to fraction form
   85,951/132,814.50 = 132,814.50/x
3. Step 3: Cross multiply
   85,951x = 132,814.50 × 132,814.50
4. Step 4: Simplify right side
   85,951x = 17,639,691,410.25
5. Step 5: Solve for x
   x = 17,639,691,410.25/85,951
6. Step 6: Final answer
   x = 205,229.62