Finding the Third Proportional to 110,632 and 260,054

Step by Step Solution

1. Step 1: Write the proportion equation
   110,632 : 260,054 = 260,054 : x
2. Step 2: Convert to fraction form
   110,632/260,054 = 260,054/x
3. Step 3: Cross multiply
   110,632x = 260,054 × 260,054
4. Step 4: Simplify right side
   110,632x = 67,628,082,916
5. Step 5: Solve for x
   x = 67,628,082,916/110,632
6. Step 6: Final answer
   x = 611,288.62