Finding the Third Proportional to 100,866 and 148,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,866 : 148,378.50 = 148,378.50 : x
2. Step 2: Convert to fraction form
   100,866/148,378.50 = 148,378.50/x
3. Step 3: Cross multiply
   100,866x = 148,378.50 × 148,378.50
4. Step 4: Simplify right side
   100,866x = 22,016,179,262.25
5. Step 5: Solve for x
   x = 22,016,179,262.25/100,866
6. Step 6: Final answer
   x = 218,271.56