Finding the Third Proportional to 107,584.50 and 225,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,584.50 : 225,820.50 = 225,820.50 : x
2. Step 2: Convert to fraction form
   107,584.50/225,820.50 = 225,820.50/x
3. Step 3: Cross multiply
   107,584.50x = 225,820.50 × 225,820.50
4. Step 4: Simplify right side
   107,584.50x = 50,994,898,220.25
5. Step 5: Solve for x
   x = 50,994,898,220.25/107,584.50
6. Step 6: Final answer
   x = 473,998.56