Finding the Third Proportional to 116,786.50 and 256,181

Step by Step Solution

1. Step 1: Write the proportion equation
   116,786.50 : 256,181 = 256,181 : x
2. Step 2: Convert to fraction form
   116,786.50/256,181 = 256,181/x
3. Step 3: Cross multiply
   116,786.50x = 256,181 × 256,181
4. Step 4: Simplify right side
   116,786.50x = 65,628,704,761
5. Step 5: Solve for x
   x = 65,628,704,761/116,786.50
6. Step 6: Final answer
   x = 561,954.55