Finding the Third Proportional to 85,844 and 132,916

Step by Step Solution

1. Step 1: Write the proportion equation
   85,844 : 132,916 = 132,916 : x
2. Step 2: Convert to fraction form
   85,844/132,916 = 132,916/x
3. Step 3: Cross multiply
   85,844x = 132,916 × 132,916
4. Step 4: Simplify right side
   85,844x = 17,666,663,056
5. Step 5: Solve for x
   x = 17,666,663,056/85,844
6. Step 6: Final answer
   x = 205,799.63