Finding the Third Proportional to 121,540 and 183,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,540 : 183,986.50 = 183,986.50 : x
2. Step 2: Convert to fraction form
   121,540/183,986.50 = 183,986.50/x
3. Step 3: Cross multiply
   121,540x = 183,986.50 × 183,986.50
4. Step 4: Simplify right side
   121,540x = 33,851,032,182.25
5. Step 5: Solve for x
   x = 33,851,032,182.25/121,540
6. Step 6: Final answer
   x = 278,517.63