Finding the Third Proportional to 86,785 and 190,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,785 : 190,215.50 = 190,215.50 : x
2. Step 2: Convert to fraction form
   86,785/190,215.50 = 190,215.50/x
3. Step 3: Cross multiply
   86,785x = 190,215.50 × 190,215.50
4. Step 4: Simplify right side
   86,785x = 36,181,936,440.25
5. Step 5: Solve for x
   x = 36,181,936,440.25/86,785
6. Step 6: Final answer
   x = 416,914.63