Finding the Third Proportional to 109,568.25 and 166,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,568.25 : 166,387.50 = 166,387.50 : x
2. Step 2: Convert to fraction form
   109,568.25/166,387.50 = 166,387.50/x
3. Step 3: Cross multiply
   109,568.25x = 166,387.50 × 166,387.50
4. Step 4: Simplify right side
   109,568.25x = 27,684,800,156.25
5. Step 5: Solve for x
   x = 27,684,800,156.25/109,568.25
6. Step 6: Final answer
   x = 252,671.74