Finding the Third Proportional to 121,692.38 and 181,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,692.38 : 181,525.50 = 181,525.50 : x
2. Step 2: Convert to fraction form
   121,692.38/181,525.50 = 181,525.50/x
3. Step 3: Cross multiply
   121,692.38x = 181,525.50 × 181,525.50
4. Step 4: Simplify right side
   121,692.38x = 32,951,507,150.25
5. Step 5: Solve for x
   x = 32,951,507,150.25/121,692.38
6. Step 6: Final answer
   x = 270,777.09