Finding the Third Proportional to 121,096 and 181,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,096 : 181,684.50 = 181,684.50 : x
2. Step 2: Convert to fraction form
   121,096/181,684.50 = 181,684.50/x
3. Step 3: Cross multiply
   121,096x = 181,684.50 × 181,684.50
4. Step 4: Simplify right side
   121,096x = 33,009,257,540.25
5. Step 5: Solve for x
   x = 33,009,257,540.25/121,096
6. Step 6: Final answer
   x = 272,587.51