Finding the Third Proportional to 121,707 and 181,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,707 : 181,543.50 = 181,543.50 : x
2. Step 2: Convert to fraction form
   121,707/181,543.50 = 181,543.50/x
3. Step 3: Cross multiply
   121,707x = 181,543.50 × 181,543.50
4. Step 4: Simplify right side
   121,707x = 32,958,042,392.25
5. Step 5: Solve for x
   x = 32,958,042,392.25/121,707
6. Step 6: Final answer
   x = 270,798.25