Finding the Third Proportional to 117,262.50 and 181,686

Step by Step Solution

1. Step 1: Write the proportion equation
   117,262.50 : 181,686 = 181,686 : x
2. Step 2: Convert to fraction form
   117,262.50/181,686 = 181,686/x
3. Step 3: Cross multiply
   117,262.50x = 181,686 × 181,686
4. Step 4: Simplify right side
   117,262.50x = 33,009,802,596
5. Step 5: Solve for x
   x = 33,009,802,596/117,262.50
6. Step 6: Final answer
   x = 281,503.49