Finding the Third Proportional to 75,619 and 111,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,619 : 111,698.50 = 111,698.50 : x
2. Step 2: Convert to fraction form
   75,619/111,698.50 = 111,698.50/x
3. Step 3: Cross multiply
   75,619x = 111,698.50 × 111,698.50
4. Step 4: Simplify right side
   75,619x = 12,476,554,902.25
5. Step 5: Solve for x
   x = 12,476,554,902.25/75,619
6. Step 6: Final answer
   x = 164,992.33