Finding the Third Proportional to 117,010.50 and 181,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   117,010.50 : 181,514.25 = 181,514.25 : x
2. Step 2: Convert to fraction form
   117,010.50/181,514.25 = 181,514.25/x
3. Step 3: Cross multiply
   117,010.50x = 181,514.25 × 181,514.25
4. Step 4: Simplify right side
   117,010.50x = 32,947,422,953.06
5. Step 5: Solve for x
   x = 32,947,422,953.06/117,010.50
6. Step 6: Final answer
   x = 281,576.64