Finding the Third Proportional to 110,613.50 and 260,009

Step by Step Solution

1. Step 1: Write the proportion equation
   110,613.50 : 260,009 = 260,009 : x
2. Step 2: Convert to fraction form
   110,613.50/260,009 = 260,009/x
3. Step 3: Cross multiply
   110,613.50x = 260,009 × 260,009
4. Step 4: Simplify right side
   110,613.50x = 67,604,680,081
5. Step 5: Solve for x
   x = 67,604,680,081/110,613.50
6. Step 6: Final answer
   x = 611,179.29