Finding the Third Proportional to 85,852 and 132,820

Step by Step Solution

1. Step 1: Write the proportion equation
   85,852 : 132,820 = 132,820 : x
2. Step 2: Convert to fraction form
   85,852/132,820 = 132,820/x
3. Step 3: Cross multiply
   85,852x = 132,820 × 132,820
4. Step 4: Simplify right side
   85,852x = 17,641,152,400
5. Step 5: Solve for x
   x = 17,641,152,400/85,852
6. Step 6: Final answer
   x = 205,483.30