Finding the Third Proportional to 121,684.50 and 181,512

Step by Step Solution

1. Step 1: Write the proportion equation
   121,684.50 : 181,512 = 181,512 : x
2. Step 2: Convert to fraction form
   121,684.50/181,512 = 181,512/x
3. Step 3: Cross multiply
   121,684.50x = 181,512 × 181,512
4. Step 4: Simplify right side
   121,684.50x = 32,946,606,144
5. Step 5: Solve for x
   x = 32,946,606,144/121,684.50
6. Step 6: Final answer
   x = 270,754.34