Finding the Third Proportional to 116,422.50 and 175,544.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,422.50 : 175,544.25 = 175,544.25 : x
2. Step 2: Convert to fraction form
   116,422.50/175,544.25 = 175,544.25/x
3. Step 3: Cross multiply
   116,422.50x = 175,544.25 × 175,544.25
4. Step 4: Simplify right side
   116,422.50x = 30,815,783,708.06
5. Step 5: Solve for x
   x = 30,815,783,708.06/116,422.50
6. Step 6: Final answer
   x = 264,689.25