Finding the Third Proportional to 120,205 and 183,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,205 : 183,485.50 = 183,485.50 : x
2. Step 2: Convert to fraction form
   120,205/183,485.50 = 183,485.50/x
3. Step 3: Cross multiply
   120,205x = 183,485.50 × 183,485.50
4. Step 4: Simplify right side
   120,205x = 33,666,928,710.25
5. Step 5: Solve for x
   x = 33,666,928,710.25/120,205
6. Step 6: Final answer
   x = 280,079.27