Finding the Third Proportional to 54,111 and 119,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,111 : 119,899.50 = 119,899.50 : x
2. Step 2: Convert to fraction form
   54,111/119,899.50 = 119,899.50/x
3. Step 3: Cross multiply
   54,111x = 119,899.50 × 119,899.50
4. Step 4: Simplify right side
   54,111x = 14,375,890,100.25
5. Step 5: Solve for x
   x = 14,375,890,100.25/54,111
6. Step 6: Final answer
   x = 265,674.08