Finding the Third Proportional to 114,561 and 270,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,561 : 270,868.50 = 270,868.50 : x
2. Step 2: Convert to fraction form
   114,561/270,868.50 = 270,868.50/x
3. Step 3: Cross multiply
   114,561x = 270,868.50 × 270,868.50
4. Step 4: Simplify right side
   114,561x = 73,369,744,292.25
5. Step 5: Solve for x
   x = 73,369,744,292.25/114,561
6. Step 6: Final answer
   x = 640,442.60