Finding the Third Proportional to 74,765 and 111,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,765 : 111,067.50 = 111,067.50 : x
2. Step 2: Convert to fraction form
   74,765/111,067.50 = 111,067.50/x
3. Step 3: Cross multiply
   74,765x = 111,067.50 × 111,067.50
4. Step 4: Simplify right side
   74,765x = 12,335,989,556.25
5. Step 5: Solve for x
   x = 12,335,989,556.25/74,765
6. Step 6: Final answer
   x = 164,996.85