Finding the Third Proportional to 75,584.25 and 111,647.25

Step by Step Solution

1. Step 1: Write the proportion equation
   75,584.25 : 111,647.25 = 111,647.25 : x
2. Step 2: Convert to fraction form
   75,584.25/111,647.25 = 111,647.25/x
3. Step 3: Cross multiply
   75,584.25x = 111,647.25 × 111,647.25
4. Step 4: Simplify right side
   75,584.25x = 12,465,108,432.56
5. Step 5: Solve for x
   x = 12,465,108,432.56/75,584.25
6. Step 6: Final answer
   x = 164,916.74