Finding the Third Proportional to 122,680 and 262,848

Step by Step Solution

1. Step 1: Write the proportion equation
   122,680 : 262,848 = 262,848 : x
2. Step 2: Convert to fraction form
   122,680/262,848 = 262,848/x
3. Step 3: Cross multiply
   122,680x = 262,848 × 262,848
4. Step 4: Simplify right side
   122,680x = 69,089,071,104
5. Step 5: Solve for x
   x = 69,089,071,104/122,680
6. Step 6: Final answer
   x = 563,164.91