Finding the Third Proportional to 116,133 and 173,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,133 : 173,746.50 = 173,746.50 : x
2. Step 2: Convert to fraction form
   116,133/173,746.50 = 173,746.50/x
3. Step 3: Cross multiply
   116,133x = 173,746.50 × 173,746.50
4. Step 4: Simplify right side
   116,133x = 30,187,846,262.25
5. Step 5: Solve for x
   x = 30,187,846,262.25/116,133
6. Step 6: Final answer
   x = 259,942.02