Finding the Third Proportional to 86,667.75 and 185,569.31

Step by Step Solution

1. Step 1: Write the proportion equation
   86,667.75 : 185,569.31 = 185,569.31 : x
2. Step 2: Convert to fraction form
   86,667.75/185,569.31 = 185,569.31/x
3. Step 3: Cross multiply
   86,667.75x = 185,569.31 × 185,569.31
4. Step 4: Simplify right side
   86,667.75x = 34,435,969,741.72
5. Step 5: Solve for x
   x = 34,435,969,741.72/86,667.75
6. Step 6: Final answer
   x = 397,333.15