Finding the Third Proportional to 118,405.50 and 181,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,405.50 : 181,132.50 = 181,132.50 : x
2. Step 2: Convert to fraction form
   118,405.50/181,132.50 = 181,132.50/x
3. Step 3: Cross multiply
   118,405.50x = 181,132.50 × 181,132.50
4. Step 4: Simplify right side
   118,405.50x = 32,808,982,556.25
5. Step 5: Solve for x
   x = 32,808,982,556.25/118,405.50
6. Step 6: Final answer
   x = 277,090.02