Finding the Third Proportional to 122,034.50 and 262,801

Step by Step Solution

1. Step 1: Write the proportion equation
   122,034.50 : 262,801 = 262,801 : x
2. Step 2: Convert to fraction form
   122,034.50/262,801 = 262,801/x
3. Step 3: Cross multiply
   122,034.50x = 262,801 × 262,801
4. Step 4: Simplify right side
   122,034.50x = 69,064,365,601
5. Step 5: Solve for x
   x = 69,064,365,601/122,034.50
6. Step 6: Final answer
   x = 565,941.32