Finding the Third Proportional to 54,141 and 114,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,141 : 114,205.50 = 114,205.50 : x
2. Step 2: Convert to fraction form
   54,141/114,205.50 = 114,205.50/x
3. Step 3: Cross multiply
   54,141x = 114,205.50 × 114,205.50
4. Step 4: Simplify right side
   54,141x = 13,042,896,230.25
5. Step 5: Solve for x
   x = 13,042,896,230.25/54,141
6. Step 6: Final answer
   x = 240,906.08