Finding the Third Proportional to 86,205 and 132,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,205 : 132,941.50 = 132,941.50 : x
2. Step 2: Convert to fraction form
   86,205/132,941.50 = 132,941.50/x
3. Step 3: Cross multiply
   86,205x = 132,941.50 × 132,941.50
4. Step 4: Simplify right side
   86,205x = 17,673,442,422.25
5. Step 5: Solve for x
   x = 17,673,442,422.25/86,205
6. Step 6: Final answer
   x = 205,016.44