Finding the Third Proportional to 120,556.50 and 181,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,556.50 : 181,927.50 = 181,927.50 : x
2. Step 2: Convert to fraction form
   120,556.50/181,927.50 = 181,927.50/x
3. Step 3: Cross multiply
   120,556.50x = 181,927.50 × 181,927.50
4. Step 4: Simplify right side
   120,556.50x = 33,097,615,256.25
5. Step 5: Solve for x
   x = 33,097,615,256.25/120,556.50
6. Step 6: Final answer
   x = 274,540.28