Finding the Third Proportional to 121,544 and 183,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,544 : 183,992.50 = 183,992.50 : x
2. Step 2: Convert to fraction form
   121,544/183,992.50 = 183,992.50/x
3. Step 3: Cross multiply
   121,544x = 183,992.50 × 183,992.50
4. Step 4: Simplify right side
   121,544x = 33,853,240,056.25
5. Step 5: Solve for x
   x = 33,853,240,056.25/121,544
6. Step 6: Final answer
   x = 278,526.62