Finding the Third Proportional to 122,781 and 264,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,781 : 264,454.50 = 264,454.50 : x
2. Step 2: Convert to fraction form
   122,781/264,454.50 = 264,454.50/x
3. Step 3: Cross multiply
   122,781x = 264,454.50 × 264,454.50
4. Step 4: Simplify right side
   122,781x = 69,936,182,570.25
5. Step 5: Solve for x
   x = 69,936,182,570.25/122,781
6. Step 6: Final answer
   x = 569,601.02