Finding the Third Proportional to 154,731 and 208,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,731 : 208,768.50 = 208,768.50 : x
2. Step 2: Convert to fraction form
   154,731/208,768.50 = 208,768.50/x
3. Step 3: Cross multiply
   154,731x = 208,768.50 × 208,768.50
4. Step 4: Simplify right side
   154,731x = 43,584,286,592.25
5. Step 5: Solve for x
   x = 43,584,286,592.25/154,731
6. Step 6: Final answer
   x = 281,677.79