Finding the Third Proportional to 116,487 and 174,546

Step by Step Solution

1. Step 1: Write the proportion equation
   116,487 : 174,546 = 174,546 : x
2. Step 2: Convert to fraction form
   116,487/174,546 = 174,546/x
3. Step 3: Cross multiply
   116,487x = 174,546 × 174,546
4. Step 4: Simplify right side
   116,487x = 30,466,306,116
5. Step 5: Solve for x
   x = 30,466,306,116/116,487
6. Step 6: Final answer
   x = 261,542.54