Finding the Third Proportional to 123,678 and 186,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,678 : 186,664.50 = 186,664.50 : x
2. Step 2: Convert to fraction form
   123,678/186,664.50 = 186,664.50/x
3. Step 3: Cross multiply
   123,678x = 186,664.50 × 186,664.50
4. Step 4: Simplify right side
   123,678x = 34,843,635,560.25
5. Step 5: Solve for x
   x = 34,843,635,560.25/123,678
6. Step 6: Final answer
   x = 281,728.65