Finding the Third Proportional to 116,514 and 174,591

Step by Step Solution

1. Step 1: Write the proportion equation
   116,514 : 174,591 = 174,591 : x
2. Step 2: Convert to fraction form
   116,514/174,591 = 174,591/x
3. Step 3: Cross multiply
   116,514x = 174,591 × 174,591
4. Step 4: Simplify right side
   116,514x = 30,482,017,281
5. Step 5: Solve for x
   x = 30,482,017,281/116,514
6. Step 6: Final answer
   x = 261,616.78