Finding the Third Proportional to 120,569 and 264,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,569 : 264,784.50 = 264,784.50 : x
2. Step 2: Convert to fraction form
   120,569/264,784.50 = 264,784.50/x
3. Step 3: Cross multiply
   120,569x = 264,784.50 × 264,784.50
4. Step 4: Simplify right side
   120,569x = 70,110,831,440.25
5. Step 5: Solve for x
   x = 70,110,831,440.25/120,569
6. Step 6: Final answer
   x = 581,499.65