Finding the Third Proportional to 121,180 and 258,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,180 : 258,855.50 = 258,855.50 : x
2. Step 2: Convert to fraction form
   121,180/258,855.50 = 258,855.50/x
3. Step 3: Cross multiply
   121,180x = 258,855.50 × 258,855.50
4. Step 4: Simplify right side
   121,180x = 67,006,169,880.25
5. Step 5: Solve for x
   x = 67,006,169,880.25/121,180
6. Step 6: Final answer
   x = 552,947.43