Finding the Third Proportional to 116,871 and 175,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,871 : 175,306.50 = 175,306.50 : x
2. Step 2: Convert to fraction form
   116,871/175,306.50 = 175,306.50/x
3. Step 3: Cross multiply
   116,871x = 175,306.50 × 175,306.50
4. Step 4: Simplify right side
   116,871x = 30,732,368,942.25
5. Step 5: Solve for x
   x = 30,732,368,942.25/116,871
6. Step 6: Final answer
   x = 262,959.75