Finding the Third Proportional to 100,764 and 150,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,764 : 150,619.50 = 150,619.50 : x
2. Step 2: Convert to fraction form
   100,764/150,619.50 = 150,619.50/x
3. Step 3: Cross multiply
   100,764x = 150,619.50 × 150,619.50
4. Step 4: Simplify right side
   100,764x = 22,686,233,780.25
5. Step 5: Solve for x
   x = 22,686,233,780.25/100,764
6. Step 6: Final answer
   x = 225,142.25