Finding the Third Proportional to 86,238.56 and 188,507.81

Step by Step Solution

1. Step 1: Write the proportion equation
   86,238.56 : 188,507.81 = 188,507.81 : x
2. Step 2: Convert to fraction form
   86,238.56/188,507.81 = 188,507.81/x
3. Step 3: Cross multiply
   86,238.56x = 188,507.81 × 188,507.81
4. Step 4: Simplify right side
   86,238.56x = 35,535,195,373.54
5. Step 5: Solve for x
   x = 35,535,195,373.54/86,238.56
6. Step 6: Final answer
   x = 412,056.91