Finding the Third Proportional to 108,582.50 and 165,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,582.50 : 165,087.50 = 165,087.50 : x
2. Step 2: Convert to fraction form
   108,582.50/165,087.50 = 165,087.50/x
3. Step 3: Cross multiply
   108,582.50x = 165,087.50 × 165,087.50
4. Step 4: Simplify right side
   108,582.50x = 27,253,882,656.25
5. Step 5: Solve for x
   x = 27,253,882,656.25/108,582.50
6. Step 6: Final answer
   x = 250,997.01