Finding the Third Proportional to 121,566 and 264,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,566 : 264,409.50 = 264,409.50 : x
2. Step 2: Convert to fraction form
   121,566/264,409.50 = 264,409.50/x
3. Step 3: Cross multiply
   121,566x = 264,409.50 × 264,409.50
4. Step 4: Simplify right side
   121,566x = 69,912,383,690.25
5. Step 5: Solve for x
   x = 69,912,383,690.25/121,566
6. Step 6: Final answer
   x = 575,098.17