Finding the Third Proportional to 121,923 and 161,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,923 : 161,776.50 = 161,776.50 : x
2. Step 2: Convert to fraction form
   121,923/161,776.50 = 161,776.50/x
3. Step 3: Cross multiply
   121,923x = 161,776.50 × 161,776.50
4. Step 4: Simplify right side
   121,923x = 26,171,635,952.25
5. Step 5: Solve for x
   x = 26,171,635,952.25/121,923
6. Step 6: Final answer
   x = 214,657.09