Finding the Third Proportional to 123,687 and 186,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,687 : 186,676.50 = 186,676.50 : x
2. Step 2: Convert to fraction form
   123,687/186,676.50 = 186,676.50/x
3. Step 3: Cross multiply
   123,687x = 186,676.50 × 186,676.50
4. Step 4: Simplify right side
   123,687x = 34,848,115,652.25
5. Step 5: Solve for x
   x = 34,848,115,652.25/123,687
6. Step 6: Final answer
   x = 281,744.37