Finding the Third Proportional to 258,164 and 562,258.75

Step by Step Solution

1. Step 1: Write the proportion equation
   258,164 : 562,258.75 = 562,258.75 : x
2. Step 2: Convert to fraction form
   258,164/562,258.75 = 562,258.75/x
3. Step 3: Cross multiply
   258,164x = 562,258.75 × 562,258.75
4. Step 4: Simplify right side
   258,164x = 316,134,901,951.56
5. Step 5: Solve for x
   x = 316,134,901,951.56/258,164
6. Step 6: Final answer
   x = 1,224,550.68