Finding the Third Proportional to 120,538.50 and 181,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,538.50 : 181,900.50 = 181,900.50 : x
2. Step 2: Convert to fraction form
   120,538.50/181,900.50 = 181,900.50/x
3. Step 3: Cross multiply
   120,538.50x = 181,900.50 × 181,900.50
4. Step 4: Simplify right side
   120,538.50x = 33,087,791,900.25
5. Step 5: Solve for x
   x = 33,087,791,900.25/120,538.50
6. Step 6: Final answer
   x = 274,499.78