Finding the Third Proportional to 85,456 and 132,663

Step by Step Solution

1. Step 1: Write the proportion equation
   85,456 : 132,663 = 132,663 : x
2. Step 2: Convert to fraction form
   85,456/132,663 = 132,663/x
3. Step 3: Cross multiply
   85,456x = 132,663 × 132,663
4. Step 4: Simplify right side
   85,456x = 17,599,471,569
5. Step 5: Solve for x
   x = 17,599,471,569/85,456
6. Step 6: Final answer
   x = 205,947.76