Finding the Third Proportional to 154,740 and 208,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,740 : 208,780.50 = 208,780.50 : x
2. Step 2: Convert to fraction form
   154,740/208,780.50 = 208,780.50/x
3. Step 3: Cross multiply
   154,740x = 208,780.50 × 208,780.50
4. Step 4: Simplify right side
   154,740x = 43,589,297,180.25
5. Step 5: Solve for x
   x = 43,589,297,180.25/154,740
6. Step 6: Final answer
   x = 281,693.79