Finding the Third Proportional to 121,271.50 and 186,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,271.50 : 186,146.50 = 186,146.50 : x
2. Step 2: Convert to fraction form
   121,271.50/186,146.50 = 186,146.50/x
3. Step 3: Cross multiply
   121,271.50x = 186,146.50 × 186,146.50
4. Step 4: Simplify right side
   121,271.50x = 34,650,519,462.25
5. Step 5: Solve for x
   x = 34,650,519,462.25/121,271.50
6. Step 6: Final answer
   x = 285,726.82