Finding the Third Proportional to 109,282.50 and 166,191

Step by Step Solution

1. Step 1: Write the proportion equation
   109,282.50 : 166,191 = 166,191 : x
2. Step 2: Convert to fraction form
   109,282.50/166,191 = 166,191/x
3. Step 3: Cross multiply
   109,282.50x = 166,191 × 166,191
4. Step 4: Simplify right side
   109,282.50x = 27,619,448,481
5. Step 5: Solve for x
   x = 27,619,448,481/109,282.50
6. Step 6: Final answer
   x = 252,734.41