Finding the Third Proportional to 71,698.50 and 100,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,698.50 : 100,282.50 = 100,282.50 : x
2. Step 2: Convert to fraction form
   71,698.50/100,282.50 = 100,282.50/x
3. Step 3: Cross multiply
   71,698.50x = 100,282.50 × 100,282.50
4. Step 4: Simplify right side
   71,698.50x = 10,056,579,806.25
5. Step 5: Solve for x
   x = 10,056,579,806.25/71,698.50
6. Step 6: Final answer
   x = 140,262.07