Finding the Third Proportional to 264,880 and 580,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,880 : 580,146.50 = 580,146.50 : x
2. Step 2: Convert to fraction form
   264,880/580,146.50 = 580,146.50/x
3. Step 3: Cross multiply
   264,880x = 580,146.50 × 580,146.50
4. Step 4: Simplify right side
   264,880x = 336,569,961,462.25
5. Step 5: Solve for x
   x = 336,569,961,462.25/264,880
6. Step 6: Final answer
   x = 1,270,650.72