Finding the Third Proportional to 122,862.38 and 269,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,862.38 : 269,815.50 = 269,815.50 : x
2. Step 2: Convert to fraction form
   122,862.38/269,815.50 = 269,815.50/x
3. Step 3: Cross multiply
   122,862.38x = 269,815.50 × 269,815.50
4. Step 4: Simplify right side
   122,862.38x = 72,800,404,040.25
5. Step 5: Solve for x
   x = 72,800,404,040.25/122,862.38
6. Step 6: Final answer
   x = 592,536.19