Finding the Third Proportional to 113,899.50 and 181,022.06

Step by Step Solution

1. Step 1: Write the proportion equation
   113,899.50 : 181,022.06 = 181,022.06 : x
2. Step 2: Convert to fraction form
   113,899.50/181,022.06 = 181,022.06/x
3. Step 3: Cross multiply
   113,899.50x = 181,022.06 × 181,022.06
4. Step 4: Simplify right side
   113,899.50x = 32,768,987,111.75
5. Step 5: Solve for x
   x = 32,768,987,111.75/113,899.50
6. Step 6: Final answer
   x = 287,700.89