Finding the Third Proportional to 86,568.75 and 189,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,568.75 : 189,013.50 = 189,013.50 : x
2. Step 2: Convert to fraction form
   86,568.75/189,013.50 = 189,013.50/x
3. Step 3: Cross multiply
   86,568.75x = 189,013.50 × 189,013.50
4. Step 4: Simplify right side
   86,568.75x = 35,726,103,182.25
5. Step 5: Solve for x
   x = 35,726,103,182.25/86,568.75
6. Step 6: Final answer
   x = 412,690.53