Finding the Third Proportional to 123,676.50 and 186,663

Step by Step Solution

1. Step 1: Write the proportion equation
   123,676.50 : 186,663 = 186,663 : x
2. Step 2: Convert to fraction form
   123,676.50/186,663 = 186,663/x
3. Step 3: Cross multiply
   123,676.50x = 186,663 × 186,663
4. Step 4: Simplify right side
   123,676.50x = 34,843,075,569
5. Step 5: Solve for x
   x = 34,843,075,569/123,676.50
6. Step 6: Final answer
   x = 281,727.54