Finding the Third Proportional to 121,650 and 261,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,650 : 261,280.50 = 261,280.50 : x
2. Step 2: Convert to fraction form
   121,650/261,280.50 = 261,280.50/x
3. Step 3: Cross multiply
   121,650x = 261,280.50 × 261,280.50
4. Step 4: Simplify right side
   121,650x = 68,267,499,680.25
5. Step 5: Solve for x
   x = 68,267,499,680.25/121,650
6. Step 6: Final answer
   x = 561,179.61