Finding the Third Proportional to 82,581.75 and 114,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,581.75 : 114,907.50 = 114,907.50 : x
2. Step 2: Convert to fraction form
   82,581.75/114,907.50 = 114,907.50/x
3. Step 3: Cross multiply
   82,581.75x = 114,907.50 × 114,907.50
4. Step 4: Simplify right side
   82,581.75x = 13,203,733,556.25
5. Step 5: Solve for x
   x = 13,203,733,556.25/82,581.75
6. Step 6: Final answer
   x = 159,886.82