Finding the Third Proportional to 114,068 and 266,540

Step by Step Solution

1. Step 1: Write the proportion equation
   114,068 : 266,540 = 266,540 : x
2. Step 2: Convert to fraction form
   114,068/266,540 = 266,540/x
3. Step 3: Cross multiply
   114,068x = 266,540 × 266,540
4. Step 4: Simplify right side
   114,068x = 71,043,571,600
5. Step 5: Solve for x
   x = 71,043,571,600/114,068
6. Step 6: Final answer
   x = 622,817.72