Finding the Third Proportional to 122,544 and 265,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   122,544 : 265,443.75 = 265,443.75 : x
2. Step 2: Convert to fraction form
   122,544/265,443.75 = 265,443.75/x
3. Step 3: Cross multiply
   122,544x = 265,443.75 × 265,443.75
4. Step 4: Simplify right side
   122,544x = 70,460,384,414.06
5. Step 5: Solve for x
   x = 70,460,384,414.06/122,544
6. Step 6: Final answer
   x = 574,980.29