Finding the Third Proportional to 116,733 and 173,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,733 : 173,398.50 = 173,398.50 : x
2. Step 2: Convert to fraction form
   116,733/173,398.50 = 173,398.50/x
3. Step 3: Cross multiply
   116,733x = 173,398.50 × 173,398.50
4. Step 4: Simplify right side
   116,733x = 30,067,039,802.25
5. Step 5: Solve for x
   x = 30,067,039,802.25/116,733
6. Step 6: Final answer
   x = 257,571.04