Finding the Third Proportional to 53,597 and 114,314

Step by Step Solution

1. Step 1: Write the proportion equation
   53,597 : 114,314 = 114,314 : x
2. Step 2: Convert to fraction form
   53,597/114,314 = 114,314/x
3. Step 3: Cross multiply
   53,597x = 114,314 × 114,314
4. Step 4: Simplify right side
   53,597x = 13,067,690,596
5. Step 5: Solve for x
   x = 13,067,690,596/53,597
6. Step 6: Final answer
   x = 243,813.84