Finding the Third Proportional to 116,851 and 175,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,851 : 175,078.50 = 175,078.50 : x
2. Step 2: Convert to fraction form
   116,851/175,078.50 = 175,078.50/x
3. Step 3: Cross multiply
   116,851x = 175,078.50 × 175,078.50
4. Step 4: Simplify right side
   116,851x = 30,652,481,162.25
5. Step 5: Solve for x
   x = 30,652,481,162.25/116,851
6. Step 6: Final answer
   x = 262,321.09