Finding the Third Proportional to 86,067 and 114,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,067 : 114,256.50 = 114,256.50 : x
2. Step 2: Convert to fraction form
   86,067/114,256.50 = 114,256.50/x
3. Step 3: Cross multiply
   86,067x = 114,256.50 × 114,256.50
4. Step 4: Simplify right side
   86,067x = 13,054,547,792.25
5. Step 5: Solve for x
   x = 13,054,547,792.25/86,067
6. Step 6: Final answer
   x = 151,678.90