Finding the Third Proportional to 100,823 and 148,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,823 : 148,928.50 = 148,928.50 : x
2. Step 2: Convert to fraction form
   100,823/148,928.50 = 148,928.50/x
3. Step 3: Cross multiply
   100,823x = 148,928.50 × 148,928.50
4. Step 4: Simplify right side
   100,823x = 22,179,698,112.25
5. Step 5: Solve for x
   x = 22,179,698,112.25/100,823
6. Step 6: Final answer
   x = 219,986.49