Finding the Third Proportional to 86,323 and 188,656.75

Step by Step Solution

1. Step 1: Write the proportion equation
   86,323 : 188,656.75 = 188,656.75 : x
2. Step 2: Convert to fraction form
   86,323/188,656.75 = 188,656.75/x
3. Step 3: Cross multiply
   86,323x = 188,656.75 × 188,656.75
4. Step 4: Simplify right side
   86,323x = 35,591,369,320.56
5. Step 5: Solve for x
   x = 35,591,369,320.56/86,323
6. Step 6: Final answer
   x = 412,304.59