Finding the Third Proportional to 75,105 and 116,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,105 : 116,968.50 = 116,968.50 : x
2. Step 2: Convert to fraction form
   75,105/116,968.50 = 116,968.50/x
3. Step 3: Cross multiply
   75,105x = 116,968.50 × 116,968.50
4. Step 4: Simplify right side
   75,105x = 13,681,629,992.25
5. Step 5: Solve for x
   x = 13,681,629,992.25/75,105
6. Step 6: Final answer
   x = 182,166.70