Finding the Third Proportional to 114,700 and 269,898

Step by Step Solution

1. Step 1: Write the proportion equation
   114,700 : 269,898 = 269,898 : x
2. Step 2: Convert to fraction form
   114,700/269,898 = 269,898/x
3. Step 3: Cross multiply
   114,700x = 269,898 × 269,898
4. Step 4: Simplify right side
   114,700x = 72,844,930,404
5. Step 5: Solve for x
   x = 72,844,930,404/114,700
6. Step 6: Final answer
   x = 635,090.94