Finding the Third Proportional to 120,849 and 182,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,849 : 182,005.50 = 182,005.50 : x
2. Step 2: Convert to fraction form
   120,849/182,005.50 = 182,005.50/x
3. Step 3: Cross multiply
   120,849x = 182,005.50 × 182,005.50
4. Step 4: Simplify right side
   120,849x = 33,126,002,030.25
5. Step 5: Solve for x
   x = 33,126,002,030.25/120,849
6. Step 6: Final answer
   x = 274,110.68